Pataya berries must be obtained from either Pokemon colosseum or Pokemon xd gale of darkness trade a Pokemon holding the berry to emerald then plant it to get more.
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In a house at Route 123.
At The Direct Corner At Pokemon Center 2nd Floor
Tamato berries are randomly given out by the berry master in ruby, sapphire or emerald.
Only firered, leafgreen, ruby, sapphire and emerald can get a pamtre berry for firered and leafgreen you can get it from a Pokemon with the ability pickup, in ruby, sapphire and emerald talk to the berry masters wife and tell her "challenge contest" she will be impressed and give you a pamtre berry.
Chesto berry's can be found on Route 116 and Route 121 in Pokémon Emerald. If you have already picked the berries found there, talk to the little girl in the flower shop who will give you a random berry daily.