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Finding the Fourth Proportional to 203.92, 281.27 and 141.82

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Solution

The fourth proportional to 203.92, 281.27 and 141.82 is: 195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.92 : 281.27 = 141.82 : x
  2. Step 2: Convert to fraction form
    203.92/281.27 = 141.82/x
  3. Step 3: Cross multiply
    203.92x = 281.27 × 141.82
  4. Step 4: Simplify right side
    203.92x = 39,889.71
  5. Step 5: Solve for x
    x = 39,889.71/203.92
  6. Step 6: Final answer
    x = 195.61

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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.