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Finding the Fourth Proportional to 472.13, 708.24 and 163.94

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Solution

The fourth proportional to 472.13, 708.24 and 163.94 is: 245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.13 : 708.24 = 163.94 : x
  2. Step 2: Convert to fraction form
    472.13/708.24 = 163.94/x
  3. Step 3: Cross multiply
    472.13x = 708.24 × 163.94
  4. Step 4: Simplify right side
    472.13x = 116,109.92
  5. Step 5: Solve for x
    x = 116,109.92/472.13
  6. Step 6: Final answer
    x = 245.93

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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.