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Phonetics: /fl∧ru:m/
( I spend a lot of time to check my dictionary. And I didn't see any differences.)
"F" from "for", "a" from "last", "rum" from "room" but "oo" read shorty.
Pinyin: fǒ lā rù mu
( As much as possible correct pronunciation. Pinyin, after all, is for Chinese.)