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Finding the Fourth Proportional to 472.61, 708.96 and 147.97

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Solution

The fourth proportional to 472.61, 708.96 and 147.97 is: 221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.61 : 708.96 = 147.97 : x
  2. Step 2: Convert to fraction form
    472.61/708.96 = 147.97/x
  3. Step 3: Cross multiply
    472.61x = 708.96 × 147.97
  4. Step 4: Simplify right side
    472.61x = 104,904.81
  5. Step 5: Solve for x
    x = 104,904.81/472.61
  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.