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Finding the Fourth Proportional to 204.92, 282.42 and 167.96

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Solution

The fourth proportional to 204.92, 282.42 and 167.96 is: 231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.92 : 282.42 = 167.96 : x
  2. Step 2: Convert to fraction form
    204.92/282.42 = 167.96/x
  3. Step 3: Cross multiply
    204.92x = 282.42 × 167.96
  4. Step 4: Simplify right side
    204.92x = 47,435.26
  5. Step 5: Solve for x
    x = 47,435.26/204.92
  6. Step 6: Final answer
    x = 231.48

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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.