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Finding the Fourth Proportional to 167.92, 231.78 and 165.76

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Solution

The fourth proportional to 167.92, 231.78 and 165.76 is: 228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.92 : 231.78 = 165.76 : x
  2. Step 2: Convert to fraction form
    167.92/231.78 = 165.76/x
  3. Step 3: Cross multiply
    167.92x = 231.78 × 165.76
  4. Step 4: Simplify right side
    167.92x = 38,419.85
  5. Step 5: Solve for x
    x = 38,419.85/167.92
  6. Step 6: Final answer
    x = 228.80

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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.