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Finding the Fourth Proportional to 204.28, 281.87 and 116.96

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Solution

The fourth proportional to 204.28, 281.87 and 116.96 is: 161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.28 : 281.87 = 116.96 : x
  2. Step 2: Convert to fraction form
    204.28/281.87 = 116.96/x
  3. Step 3: Cross multiply
    204.28x = 281.87 × 116.96
  4. Step 4: Simplify right side
    204.28x = 32,965.96
  5. Step 5: Solve for x
    x = 32,965.96/204.28
  6. Step 6: Final answer
    x = 161.38

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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.