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Finding the Fourth Proportional to 204.26, 281.85 and 115.74

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Solution

The fourth proportional to 204.26, 281.85 and 115.74 is: 159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.26 : 281.85 = 115.74 : x
  2. Step 2: Convert to fraction form
    204.26/281.85 = 115.74/x
  3. Step 3: Cross multiply
    204.26x = 281.85 × 115.74
  4. Step 4: Simplify right side
    204.26x = 32,621.32
  5. Step 5: Solve for x
    x = 32,621.32/204.26
  6. Step 6: Final answer
    x = 159.71

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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.