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Finding the Fourth Proportional to 299.60, 449.46 and 126.17

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Solution

The fourth proportional to 299.60, 449.46 and 126.17 is: 189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.60 : 449.46 = 126.17 : x
  2. Step 2: Convert to fraction form
    299.60/449.46 = 126.17/x
  3. Step 3: Cross multiply
    299.60x = 449.46 × 126.17
  4. Step 4: Simplify right side
    299.60x = 56,706.12
  5. Step 5: Solve for x
    x = 56,706.12/299.60
  6. Step 6: Final answer
    x = 189.28

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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.