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Finding the Fourth Proportional to 439.13, 658.08 and 164.94

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Solution

The fourth proportional to 439.13, 658.08 and 164.94 is: 247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.13 : 658.08 = 164.94 : x
  2. Step 2: Convert to fraction form
    439.13/658.08 = 164.94/x
  3. Step 3: Cross multiply
    439.13x = 658.08 × 164.94
  4. Step 4: Simplify right side
    439.13x = 108,543.72
  5. Step 5: Solve for x
    x = 108,543.72/439.13
  6. Step 6: Final answer
    x = 247.18

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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.