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Finding the Fourth Proportional to 269.49, 404.13 and 165.35

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Solution

The fourth proportional to 269.49, 404.13 and 165.35 is: 247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.49 : 404.13 = 165.35 : x
  2. Step 2: Convert to fraction form
    269.49/404.13 = 165.35/x
  3. Step 3: Cross multiply
    269.49x = 404.13 × 165.35
  4. Step 4: Simplify right side
    269.49x = 66,822.90
  5. Step 5: Solve for x
    x = 66,822.90/269.49
  6. Step 6: Final answer
    x = 247.96

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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.