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Finding the Fourth Proportional to 299.80, 449.42 and 126.52

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Solution

The fourth proportional to 299.80, 449.42 and 126.52 is: 189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.80 : 449.42 = 126.52 : x
  2. Step 2: Convert to fraction form
    299.80/449.42 = 126.52/x
  3. Step 3: Cross multiply
    299.80x = 449.42 × 126.52
  4. Step 4: Simplify right side
    299.80x = 56,860.62
  5. Step 5: Solve for x
    x = 56,860.62/299.80
  6. Step 6: Final answer
    x = 189.66

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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.