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Finding the Fourth Proportional to 408.86, 613.09 and 165.20

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Solution

The fourth proportional to 408.86, 613.09 and 165.20 is: 247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.86 : 613.09 = 165.20 : x
  2. Step 2: Convert to fraction form
    408.86/613.09 = 165.20/x
  3. Step 3: Cross multiply
    408.86x = 613.09 × 165.20
  4. Step 4: Simplify right side
    408.86x = 101,279.40
  5. Step 5: Solve for x
    x = 101,279.40/408.86
  6. Step 6: Final answer
    x = 247.71

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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.