This book is quite similar ......

Solution (By Examveda Team)

This book is quite similar to the one I read last week.
In this context, "to" is the correct preposition to use when comparing similarities between two things. The sentence suggests that the book being referred to is similar to another book that the speaker read last week. Therefore, "to the one I read last week" is the correct choice to complete the sentence, accurately conveying the comparison being made.