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Finding the Fourth Proportional to 472.29, 708.42 and 147.69

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Solution

The fourth proportional to 472.29, 708.42 and 147.69 is: 221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.29 : 708.42 = 147.69 : x
  2. Step 2: Convert to fraction form
    472.29/708.42 = 147.69/x
  3. Step 3: Cross multiply
    472.29x = 708.42 × 147.69
  4. Step 4: Simplify right side
    472.29x = 104,626.55
  5. Step 5: Solve for x
    x = 104,626.55/472.29
  6. Step 6: Final answer
    x = 221.53

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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.