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Finding the Fourth Proportional to 168.84, 233.20 and 132.44

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Solution

The fourth proportional to 168.84, 233.20 and 132.44 is: 182.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.84 : 233.20 = 132.44 : x
  2. Step 2: Convert to fraction form
    168.84/233.20 = 132.44/x
  3. Step 3: Cross multiply
    168.84x = 233.20 × 132.44
  4. Step 4: Simplify right side
    168.84x = 30,885.01
  5. Step 5: Solve for x
    x = 30,885.01/168.84
  6. Step 6: Final answer
    x = 182.92

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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.