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Finding the Fourth Proportional to 269.38, 371.55 and 247.78

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Solution

The fourth proportional to 269.38, 371.55 and 247.78 is: 341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.38 : 371.55 = 247.78 : x
  2. Step 2: Convert to fraction form
    269.38/371.55 = 247.78/x
  3. Step 3: Cross multiply
    269.38x = 371.55 × 247.78
  4. Step 4: Simplify right side
    269.38x = 92,062.66
  5. Step 5: Solve for x
    x = 92,062.66/269.38
  6. Step 6: Final answer
    x = 341.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.