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Finding the Fourth Proportional to 166.52, 249.66 and 85.20

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Solution

The fourth proportional to 166.52, 249.66 and 85.20 is: 127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.52 : 249.66 = 85.20 : x
  2. Step 2: Convert to fraction form
    166.52/249.66 = 85.20/x
  3. Step 3: Cross multiply
    166.52x = 249.66 × 85.20
  4. Step 4: Simplify right side
    166.52x = 21,271.03
  5. Step 5: Solve for x
    x = 21,271.03/166.52
  6. Step 6: Final answer
    x = 127.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.