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Finding the Fourth Proportional to 269.26, 404.12 and 147.61

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Solution

The fourth proportional to 269.26, 404.12 and 147.61 is: 221.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.26 : 404.12 = 147.61 : x
  2. Step 2: Convert to fraction form
    269.26/404.12 = 147.61/x
  3. Step 3: Cross multiply
    269.26x = 404.12 × 147.61
  4. Step 4: Simplify right side
    269.26x = 59,652.15
  5. Step 5: Solve for x
    x = 59,652.15/269.26
  6. Step 6: Final answer
    x = 221.54

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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.