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Finding the Fourth Proportional to 299.68, 449.48 and 83.24

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Solution

The fourth proportional to 299.68, 449.48 and 83.24 is: 124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.68 : 449.48 = 83.24 : x
  2. Step 2: Convert to fraction form
    299.68/449.48 = 83.24/x
  3. Step 3: Cross multiply
    299.68x = 449.48 × 83.24
  4. Step 4: Simplify right side
    299.68x = 37,414.72
  5. Step 5: Solve for x
    x = 37,414.72/299.68
  6. Step 6: Final answer
    x = 124.85

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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.