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Finding the Fourth Proportional to 203.94, 281.42 and 115.42

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Solution

The fourth proportional to 203.94, 281.42 and 115.42 is: 159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.94 : 281.42 = 115.42 : x
  2. Step 2: Convert to fraction form
    203.94/281.42 = 115.42/x
  3. Step 3: Cross multiply
    203.94x = 281.42 × 115.42
  4. Step 4: Simplify right side
    203.94x = 32,481.50
  5. Step 5: Solve for x
    x = 32,481.50/203.94
  6. Step 6: Final answer
    x = 159.27

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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.