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Finding the Fourth Proportional to 269.30, 371.11 and 207.13

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Solution

The fourth proportional to 269.30, 371.11 and 207.13 is: 285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.30 : 371.11 = 207.13 : x
  2. Step 2: Convert to fraction form
    269.30/371.11 = 207.13/x
  3. Step 3: Cross multiply
    269.30x = 371.11 × 207.13
  4. Step 4: Simplify right side
    269.30x = 76,868.01
  5. Step 5: Solve for x
    x = 76,868.01/269.30
  6. Step 6: Final answer
    x = 285.44

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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.