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Finding the Fourth Proportional to 269.57, 372.02 and 203.96

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Solution

The fourth proportional to 269.57, 372.02 and 203.96 is: 281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.57 : 372.02 = 203.96 : x
  2. Step 2: Convert to fraction form
    269.57/372.02 = 203.96/x
  3. Step 3: Cross multiply
    269.57x = 372.02 × 203.96
  4. Step 4: Simplify right side
    269.57x = 75,877.20
  5. Step 5: Solve for x
    x = 75,877.20/269.57
  6. Step 6: Final answer
    x = 281.47

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