The correct increasing order is BF3 < BCl3 < BBr3 < BI3 , this order of Lewis acidic character due to stronger 2pπ-2pπ back bonding in BF3 (lone pair orbital of fluorine into vacant orbital of boron) and gradually back bonding becomes weakest in BI3 (2pπ-5pπ) hence BF3 has stronger partial double bond character and consequently behaves as less electron deficient
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