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Finding the Fourth Proportional to 472.71, 709.13 and 147.97

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Solution

The fourth proportional to 472.71, 709.13 and 147.97 is: 221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.71 : 709.13 = 147.97 : x
  2. Step 2: Convert to fraction form
    472.71/709.13 = 147.97/x
  3. Step 3: Cross multiply
    472.71x = 709.13 × 147.97
  4. Step 4: Simplify right side
    472.71x = 104,928.56
  5. Step 5: Solve for x
    x = 104,928.56/472.71
  6. Step 6: Final answer
    x = 221.97

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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.