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Finding the Fourth Proportional to 167.08, 249.30 and 132.46

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Solution

The fourth proportional to 167.08, 249.30 and 132.46 is: 197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.08 : 249.30 = 132.46 : x
  2. Step 2: Convert to fraction form
    167.08/249.30 = 132.46/x
  3. Step 3: Cross multiply
    167.08x = 249.30 × 132.46
  4. Step 4: Simplify right side
    167.08x = 33,022.28
  5. Step 5: Solve for x
    x = 33,022.28/167.08
  6. Step 6: Final answer
    x = 197.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.