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Finding the Fourth Proportional to 169.32, 233.16 and 132.32

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Solution

The fourth proportional to 169.32, 233.16 and 132.32 is: 182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.32 : 233.16 = 132.32 : x
  2. Step 2: Convert to fraction form
    169.32/233.16 = 132.32/x
  3. Step 3: Cross multiply
    169.32x = 233.16 × 132.32
  4. Step 4: Simplify right side
    169.32x = 30,851.73
  5. Step 5: Solve for x
    x = 30,851.73/169.32
  6. Step 6: Final answer
    x = 182.21

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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.