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Finding the Fourth Proportional to 438.71, 658.24 and 164.76

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Solution

The fourth proportional to 438.71, 658.24 and 164.76 is: 247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.71 : 658.24 = 164.76 : x
  2. Step 2: Convert to fraction form
    438.71/658.24 = 164.76/x
  3. Step 3: Cross multiply
    438.71x = 658.24 × 164.76
  4. Step 4: Simplify right side
    438.71x = 108,451.83
  5. Step 5: Solve for x
    x = 108,451.83/438.71
  6. Step 6: Final answer
    x = 247.21

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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.