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Finding the Fourth Proportional to 204.17, 281.67 and 141.96

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Solution

The fourth proportional to 204.17, 281.67 and 141.96 is: 195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.17 : 281.67 = 141.96 : x
  2. Step 2: Convert to fraction form
    204.17/281.67 = 141.96/x
  3. Step 3: Cross multiply
    204.17x = 281.67 × 141.96
  4. Step 4: Simplify right side
    204.17x = 39,985.87
  5. Step 5: Solve for x
    x = 39,985.87/204.17
  6. Step 6: Final answer
    x = 195.85

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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.