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Finding the Fourth Proportional to 474.38, 711.62 and 166.12

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Solution

The fourth proportional to 474.38, 711.62 and 166.12 is: 249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.38 : 711.62 = 166.12 : x
  2. Step 2: Convert to fraction form
    474.38/711.62 = 166.12/x
  3. Step 3: Cross multiply
    474.38x = 711.62 × 166.12
  4. Step 4: Simplify right side
    474.38x = 118,214.31
  5. Step 5: Solve for x
    x = 118,214.31/474.38
  6. Step 6: Final answer
    x = 249.20

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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.