in which can refer to figurative meaning of world or action
There is a problem in which the plates can get too hot.
This is not the best but OK
There is a problem where the plates can get too hot
where is used only with places
There is a problem in that the plates can get too hot
in that is used when you want use one aspect of comparison
ex. The person is brilliant, in that he plays chess well at the age of 5
playing chess at the age of 5 makes him brilliant
There is a problem and it is that the plates can get too hot.
2 sides of and needs be parallel, not correct usage