Inflaming rhymes with:
flaming, acclaiming, blaming, claiming, disclaiming, exclaiming, flaming, proclaiming, reclaiming, acclaiming, aiming, blaming, claiming, disclaiming, exclaiming, flaming, framing, gaming, maiming, naming, proclaiming, reclaiming, renaming, shaming, taming
Inflaming sounds like:
imbalance, imbalances, impaling, implying, inflames, influence, influences, influenza