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Finding the Fourth Proportional to 167.92, 231.96 and 159.82

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Solution

The fourth proportional to 167.92, 231.96 and 159.82 is: 220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.92 : 231.96 = 159.82 : x
  2. Step 2: Convert to fraction form
    167.92/231.96 = 159.82/x
  3. Step 3: Cross multiply
    167.92x = 231.96 × 159.82
  4. Step 4: Simplify right side
    167.92x = 37,071.85
  5. Step 5: Solve for x
    x = 37,071.85/167.92
  6. Step 6: Final answer
    x = 220.77

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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.