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Finding the Fourth Proportional to 269.86, 404.55 and 159.90

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Solution

The fourth proportional to 269.86, 404.55 and 159.90 is: 239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.86 : 404.55 = 159.90 : x
  2. Step 2: Convert to fraction form
    269.86/404.55 = 159.90/x
  3. Step 3: Cross multiply
    269.86x = 404.55 × 159.90
  4. Step 4: Simplify right side
    269.86x = 64,687.55
  5. Step 5: Solve for x
    x = 64,687.55/269.86
  6. Step 6: Final answer
    x = 239.71

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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.