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Finding the Fourth Proportional to 269.73, 404.73 and 165.78

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Solution

The fourth proportional to 269.73, 404.73 and 165.78 is: 248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.73 : 404.73 = 165.78 : x
  2. Step 2: Convert to fraction form
    269.73/404.73 = 165.78/x
  3. Step 3: Cross multiply
    269.73x = 404.73 × 165.78
  4. Step 4: Simplify right side
    269.73x = 67,096.14
  5. Step 5: Solve for x
    x = 67,096.14/269.73
  6. Step 6: Final answer
    x = 248.75

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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.