if 66 2/3 % of 75% of one –eighth of a certain number is 179 ,then 33 1/3% of three-fourth of that number is?Options537716787.6859.2

Sure, let's solve this step by step:

1. First, let's find out what 1/8 of the number is. We know that 66 2/3 % of 75% of 1/8 of the number is 179.

   So, 2/3 of 75% of 1/8 of the number is 179.

   This can be written as (2/3) * (75/100) * (1/8) * x = 179, where x is the number we are trying to find.

2. Simplifying the left side of the equation, we get (1/2) * (3/4) * x = 179.

3. Solving for x, we get x = 179 * 2 * 4/3 = 358 * 4/3 = 477.33 (approximately).

4. Now, we need to find 33 1/3% of three-fourth of this number.

   This can be written as (1/3) * (3/4) * 477.33.

5. Simplifying, we get 119.33 * 3 = 358.

So, 33 1/3% of three-fourth of the number is approximately 358. Therefore, the answer is 358.