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Finding the Fourth Proportional to 475.52, 713.16 and 167.31

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Solution

The fourth proportional to 475.52, 713.16 and 167.31 is: 250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.52 : 713.16 = 167.31 : x
  2. Step 2: Convert to fraction form
    475.52/713.16 = 167.31/x
  3. Step 3: Cross multiply
    475.52x = 713.16 × 167.31
  4. Step 4: Simplify right side
    475.52x = 119,318.80
  5. Step 5: Solve for x
    x = 119,318.80/475.52
  6. Step 6: Final answer
    x = 250.93

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Why These Related Problems?

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