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Finding the Fourth Proportional to 203.92, 281.42 and 115.36

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Solution

The fourth proportional to 203.92, 281.42 and 115.36 is: 159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.92 : 281.42 = 115.36 : x
  2. Step 2: Convert to fraction form
    203.92/281.42 = 115.36/x
  3. Step 3: Cross multiply
    203.92x = 281.42 × 115.36
  4. Step 4: Simplify right side
    203.92x = 32,464.75
  5. Step 5: Solve for x
    x = 32,464.75/203.92
  6. Step 6: Final answer
    x = 159.21

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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.