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Finding the Fourth Proportional to 269.15, 401.78 and 249.11

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Solution

The fourth proportional to 269.15, 401.78 and 249.11 is: 371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.15 : 401.78 = 249.11 : x
  2. Step 2: Convert to fraction form
    269.15/401.78 = 249.11/x
  3. Step 3: Cross multiply
    269.15x = 401.78 × 249.11
  4. Step 4: Simplify right side
    269.15x = 100,087.42
  5. Step 5: Solve for x
    x = 100,087.42/269.15
  6. Step 6: Final answer
    x = 371.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.