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Finding the Fourth Proportional to 269.27, 402.89 and 164.78

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Solution

The fourth proportional to 269.27, 402.89 and 164.78 is: 246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.27 : 402.89 = 164.78 : x
  2. Step 2: Convert to fraction form
    269.27/402.89 = 164.78/x
  3. Step 3: Cross multiply
    269.27x = 402.89 × 164.78
  4. Step 4: Simplify right side
    269.27x = 66,385.38
  5. Step 5: Solve for x
    x = 66,385.38/269.27
  6. Step 6: Final answer
    x = 246.54

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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.