Pompey dropped to fourth in the League One table after losing to leaders Hull at Fratton Park.
Kenny Jackett's side conceded a couple of unfortunate Jack Whatmough own-goals either side of George Honeyman's effort.
Pompey tried to hit back, with Ellis Harrison and Harvey White both going close, but Josh Magennis wrapped up a 4-0 win for the visitors in stoppage-time.
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