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Finding the Fourth Proportional to 166.68, 249.93 and 63.99

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Solution

The fourth proportional to 166.68, 249.93 and 63.99 is: 95.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.68 : 249.93 = 63.99 : x
  2. Step 2: Convert to fraction form
    166.68/249.93 = 63.99/x
  3. Step 3: Cross multiply
    166.68x = 249.93 × 63.99
  4. Step 4: Simplify right side
    166.68x = 15,993.02
  5. Step 5: Solve for x
    x = 15,993.02/166.68
  6. Step 6: Final answer
    x = 95.95

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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.