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Finding the Fourth Proportional to 166.53, 249.80 and 44.81

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Solution

The fourth proportional to 166.53, 249.80 and 44.81 is: 67.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.53 : 249.80 = 44.81 : x
  2. Step 2: Convert to fraction form
    166.53/249.80 = 44.81/x
  3. Step 3: Cross multiply
    166.53x = 249.80 × 44.81
  4. Step 4: Simplify right side
    166.53x = 11,192.40
  5. Step 5: Solve for x
    x = 11,192.40/166.53
  6. Step 6: Final answer
    x = 67.21

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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.