The phrase "looking through" means to examine or search through something thoroughly. There are several synonyms that can be used to convey a similar meaning, including perusing, scanning, browsing, scrutinizing, and inspecting. "Perusing" is a more casual term that implies a slow and careful examination, often referring to reading through a document or book. "Scanning" suggests a quick and superficial search for information. "Browsing" refers to a leisurely and casual look through something, such as a store or website. "Scrutinizing" suggests a close and careful examination with critical attention to detail. "Inspecting" refers to a systematic examination, often with the purpose of identifying flaws or problems.