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Finding the Fourth Proportional to 203.72, 281.30 and 138.44

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Solution

The fourth proportional to 203.72, 281.30 and 138.44 is: 191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.72 : 281.30 = 138.44 : x
  2. Step 2: Convert to fraction form
    203.72/281.30 = 138.44/x
  3. Step 3: Cross multiply
    203.72x = 281.30 × 138.44
  4. Step 4: Simplify right side
    203.72x = 38,943.17
  5. Step 5: Solve for x
    x = 38,943.17/203.72
  6. Step 6: Final answer
    x = 191.16

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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.