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Finding the Fourth Proportional to 169.46, 233.91 and 132.47

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Solution

The fourth proportional to 169.46, 233.91 and 132.47 is: 182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.46 : 233.91 = 132.47 : x
  2. Step 2: Convert to fraction form
    169.46/233.91 = 132.47/x
  3. Step 3: Cross multiply
    169.46x = 233.91 × 132.47
  4. Step 4: Simplify right side
    169.46x = 30,984.89
  5. Step 5: Solve for x
    x = 30,984.89/169.46
  6. Step 6: Final answer
    x = 182.85

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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.