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Finding the Fourth Proportional to 169.34, 233.82 and 132.48

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Solution

The fourth proportional to 169.34, 233.82 and 132.48 is: 182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.34 : 233.82 = 132.48 : x
  2. Step 2: Convert to fraction form
    169.34/233.82 = 132.48/x
  3. Step 3: Cross multiply
    169.34x = 233.82 × 132.48
  4. Step 4: Simplify right side
    169.34x = 30,976.47
  5. Step 5: Solve for x
    x = 30,976.47/169.34
  6. Step 6: Final answer
    x = 182.93

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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.