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Finding the Fourth Proportional to 269.89, 404.22 and 161.46

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Solution

The fourth proportional to 269.89, 404.22 and 161.46 is: 241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.89 : 404.22 = 161.46 : x
  2. Step 2: Convert to fraction form
    269.89/404.22 = 161.46/x
  3. Step 3: Cross multiply
    269.89x = 404.22 × 161.46
  4. Step 4: Simplify right side
    269.89x = 65,265.36
  5. Step 5: Solve for x
    x = 65,265.36/269.89
  6. Step 6: Final answer
    x = 241.82

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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.