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Finding the Fourth Proportional to 203.72, 281.10 and 115.18

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Solution

The fourth proportional to 203.72, 281.10 and 115.18 is: 158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.72 : 281.10 = 115.18 : x
  2. Step 2: Convert to fraction form
    203.72/281.10 = 115.18/x
  3. Step 3: Cross multiply
    203.72x = 281.10 × 115.18
  4. Step 4: Simplify right side
    203.72x = 32,375.69
  5. Step 5: Solve for x
    x = 32,375.69/203.72
  6. Step 6: Final answer
    x = 158.92

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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.