You don't.
88
half of 350 is 175, 2 consecutive numbers that add to 175 are 87 and 88, so the answer to your question is 86, 87, 88 & 89.
43,45
The numbers are 88, 89, 90, and 91.
The numbers are 43 and 45.
The numbers are 88 and 89 (88 x 89 = 7,832). This is very easy to find. The products you are looking for are consecutive and so they are very close to each other. Calculate the square root of the number, and it is easy to see that if there are two consecutive whole numbers that will be products of the number, they will be consecutive whole numbers very close to the square root. The square root of 7832 is about 88.5.
They are consecutive odd numbers: 299 and 301.
The numbers are 82, 84, 86 and 88.
84 + 86 + 88 = 258
There are two consecutive even numbers: 4,752 and 4,754.
Consecutive numbers will always total an odd number. Consecutive odd numbers or consecutive primes would be 5 and 7.
Consecutive integers added or subtracted will turn out to be odd numbers. You can't make 8 with consecutive integers.