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Finding the Fourth Proportional to 166.11, 249.26 and 63.40

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Solution

The fourth proportional to 166.11, 249.26 and 63.40 is: 95.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.11 : 249.26 = 63.40 : x
  2. Step 2: Convert to fraction form
    166.11/249.26 = 63.40/x
  3. Step 3: Cross multiply
    166.11x = 249.26 × 63.40
  4. Step 4: Simplify right side
    166.11x = 15,803.24
  5. Step 5: Solve for x
    x = 15,803.24/166.11
  6. Step 6: Final answer
    x = 95.14

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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.