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Finding the Fourth Proportional to 166.78, 249.08 and 132.58

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Solution

The fourth proportional to 166.78, 249.08 and 132.58 is: 198.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.78 : 249.08 = 132.58 : x
  2. Step 2: Convert to fraction form
    166.78/249.08 = 132.58/x
  3. Step 3: Cross multiply
    166.78x = 249.08 × 132.58
  4. Step 4: Simplify right side
    166.78x = 33,023.03
  5. Step 5: Solve for x
    x = 33,023.03/166.78
  6. Step 6: Final answer
    x = 198.00

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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.