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Finding the Fourth Proportional to 438.74, 658.06 and 164.76

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Solution

The fourth proportional to 438.74, 658.06 and 164.76 is: 247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.74 : 658.06 = 164.76 : x
  2. Step 2: Convert to fraction form
    438.74/658.06 = 164.76/x
  3. Step 3: Cross multiply
    438.74x = 658.06 × 164.76
  4. Step 4: Simplify right side
    438.74x = 108,421.97
  5. Step 5: Solve for x
    x = 108,421.97/438.74
  6. Step 6: Final answer
    x = 247.12

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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.