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Finding the Fourth Proportional to 314.20, 471.57 and 177.52

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Solution

The fourth proportional to 314.20, 471.57 and 177.52 is: 266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.20 : 471.57 = 177.52 : x
  2. Step 2: Convert to fraction form
    314.20/471.57 = 177.52/x
  3. Step 3: Cross multiply
    314.20x = 471.57 × 177.52
  4. Step 4: Simplify right side
    314.20x = 83,713.11
  5. Step 5: Solve for x
    x = 83,713.11/314.20
  6. Step 6: Final answer
    x = 266.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.