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Finding the Fourth Proportional to 169.92, 233.82 and 165.68

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Solution

The fourth proportional to 169.92, 233.82 and 165.68 is: 227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.92 : 233.82 = 165.68 : x
  2. Step 2: Convert to fraction form
    169.92/233.82 = 165.68/x
  3. Step 3: Cross multiply
    169.92x = 233.82 × 165.68
  4. Step 4: Simplify right side
    169.92x = 38,739.30
  5. Step 5: Solve for x
    x = 38,739.30/169.92
  6. Step 6: Final answer
    x = 227.99

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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.