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Finding the Fourth Proportional to 471.06, 706.86 and 178.52

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Solution

The fourth proportional to 471.06, 706.86 and 178.52 is: 267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.06 : 706.86 = 178.52 : x
  2. Step 2: Convert to fraction form
    471.06/706.86 = 178.52/x
  3. Step 3: Cross multiply
    471.06x = 706.86 × 178.52
  4. Step 4: Simplify right side
    471.06x = 126,185.11
  5. Step 5: Solve for x
    x = 126,185.11/471.06
  6. Step 6: Final answer
    x = 267.87

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