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Finding the Fourth Proportional to 472.08, 708.13 and 147.44

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Solution

The fourth proportional to 472.08, 708.13 and 147.44 is: 221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.08 : 708.13 = 147.44 : x
  2. Step 2: Convert to fraction form
    472.08/708.13 = 147.44/x
  3. Step 3: Cross multiply
    472.08x = 708.13 × 147.44
  4. Step 4: Simplify right side
    472.08x = 104,406.69
  5. Step 5: Solve for x
    x = 104,406.69/472.08
  6. Step 6: Final answer
    x = 221.16

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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.