You haven't shared a fraction. Please do that next time.
I checked and have found that 0.045 repeating over the 4 and 5 is equivalent to 1/22. Try dividing 1 by 22 to verify this.
So I infer that the fraction you haven't yet shared is 1/22.
Let the first number = x
The second number would be 5x
The third number would be 100x
Add:
X + 5x + 100+x = 296
Simplify:
7x + 100 = 296
subtract 100 from both sides:
7x = 196
Divide both sides by 7
X = 196 / 7
X = 28
First number is 28
Second number is 28 x 5 = 140
Third number = 128
16 men in 12 days can do 0.5work
1 man 1 day can do 0.5/(16x12) of a work
8days to do 0.5 of a work
1 man 8 days can do 8x0.5/(16x12) = 0.5x(1/24) of a work
... if you notice we need 24 men
... more detail
in8days, 0.5x(1/24) of a work need 1 man
in8days, 0.5 of a work need 0.5/(0.5x(1/24)) = 24 men
point is to find 'amount of work done per man per unit of time' then work out from that.