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Finding the Fourth Proportional to 472.13, 708.19 and 163.81

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Solution

The fourth proportional to 472.13, 708.19 and 163.81 is: 245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.13 : 708.19 = 163.81 : x
  2. Step 2: Convert to fraction form
    472.13/708.19 = 163.81/x
  3. Step 3: Cross multiply
    472.13x = 708.19 × 163.81
  4. Step 4: Simplify right side
    472.13x = 116,011.99
  5. Step 5: Solve for x
    x = 116,011.99/472.13
  6. Step 6: Final answer
    x = 245.72

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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.