I have a problem with a Kenmore washer, model 110.22952100. It begins a cycle by filling, and filling, and filling. It never begins the agitation cycle, but does drain when spinning; it doesn't appear to drain by pumping alone, only with the spinning.
I've tested the fill switch; it passed the continuity test and a new one didn't stop the overfilling.
I then tested the mixing/water valve. The resistance test showed infinity on the prongs, so I figured the solenoids were bad. A new switch also didn't stop the filling.
I then disconnected the pressure switch hose at the switch and blew into it and could hear bubbles in the tub; upon visual inspection, it doesn't appear to be kinked.
Next, I began the fill cycle and used a different hose to blow into the fill switch to see if that had any affect. It did; blowing into to the switch stopped the filling and began the agitating cycle.
I'm now at a loss of what to do next. Any suggestions?

Hello xmasbaby63

"Next, I began the fill cycle and used a different hose to blow into the fill switch to see if that had any affect. It did; blowing into to the switch stopped the filling and began the agitating cycle".

So we now know that the switch itself is operational. Now you have to check why the raising water level in the tub does not produce the required air pressure to operate the switch.
There are only three possibilities : either the water can not exit the washing tub by some obstruction, the hose between the tub and switch is partly blocked (for water), or the pressure build up of the trapped air in the hose does not get high enough. That can be caused by a small air leak in the upper hose or the switch.

First check after disconnecting the switch hose from the tub if water leaks out in quantities (either outdoor, in the bathroom, or above some format of bucket or container (fill the tub with one bucket of water through the door or the soap dispenser - not necessary to use electricity or water hoses).

If the water flows freely that can not be the problem. So next remove both the switch and the hose for closer inspection and - if there is a small leak - repair it.
You are doing a great job on (logical) fault finding !

Success !

:)