9514 1404 393
Answer:
-14.5
Step-by-step explanation:
Let the number be represented by x.
176.9/x . . . . the quotient of some number divided into 176.9
4(176.9/x) . . . . the quotient multiplied by 4
10.2 + 4(176.9/x) . . . . the product added to 10.2
And that totals -38.6:
-38.6 = 10.2 +4(176.9/x)
Solution
-48.8 = 4(176.9/x) . . . . subtract 10.2
-12.2 = 176.9/x . . . . . . . divide by 4
x = 176.9/(-12.2) . . . . . multiply by x/-12.2
x = -14.5 . . . . . . . . . . . finish the division
The initial number is -14.5.
