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Finding the Fourth Proportional to 299.67, 449.33 and 251.23

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Solution

The fourth proportional to 299.67, 449.33 and 251.23 is: 376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.67 : 449.33 = 251.23 : x
  2. Step 2: Convert to fraction form
    299.67/449.33 = 251.23/x
  3. Step 3: Cross multiply
    299.67x = 449.33 × 251.23
  4. Step 4: Simplify right side
    299.67x = 112,882.93
  5. Step 5: Solve for x
    x = 112,882.93/299.67
  6. Step 6: Final answer
    x = 376.69

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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.