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Finding the Fourth Proportional to 408.96, 613.10 and 165.69

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Solution

The fourth proportional to 408.96, 613.10 and 165.69 is: 248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.96 : 613.10 = 165.69 : x
  2. Step 2: Convert to fraction form
    408.96/613.10 = 165.69/x
  3. Step 3: Cross multiply
    408.96x = 613.10 × 165.69
  4. Step 4: Simplify right side
    408.96x = 101,584.95
  5. Step 5: Solve for x
    x = 101,584.95/408.96
  6. Step 6: Final answer
    x = 248.40

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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.