I've been having difficulty discerning the instances in which "Of which" is of necessity in use.
I can think of the cases in which "To which", "In which", and "From which" are necessitated.
e.g. -
I. FROM WHICH: "The criminal met his demise, from which I derived gratification."
II. TO WHICH: "She told me I was an imbecile, to which I replied, "At least I've acquired my high school diploma."
III. IN WHICH: The manner in which I've exemplified above. (< And there.)
Would "Of which" be used as follows?:
"I approached the professor in the manner of which I was most familiar."
Are there specific terms for each case? I'm fairly certain that "to", "in", and "of" are prepositions, but are there specific terms for each, when adding "which" afterward?
Thank you.
And I'd like to express my appreciation for this website. I'm extremely thankful that the English language is still held to a state of value somewhere.

There are no specific rules. Of is just a preposition like any other.

Here are some more examples:

She had four puppies, two of which were boys.

She had four puppies, of which two were boys.