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Finding the Fourth Proportional to 269.48, 404.28 and 161.12

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Solution

The fourth proportional to 269.48, 404.28 and 161.12 is: 241.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.48 : 404.28 = 161.12 : x
  2. Step 2: Convert to fraction form
    269.48/404.28 = 161.12/x
  3. Step 3: Cross multiply
    269.48x = 404.28 × 161.12
  4. Step 4: Simplify right side
    269.48x = 65,137.59
  5. Step 5: Solve for x
    x = 65,137.59/269.48
  6. Step 6: Final answer
    x = 241.72

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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.