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Finding the Fourth Proportional to 299.41, 449.19 and 116.80

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Solution

The fourth proportional to 299.41, 449.19 and 116.80 is: 175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.41 : 449.19 = 116.80 : x
  2. Step 2: Convert to fraction form
    299.41/449.19 = 116.80/x
  3. Step 3: Cross multiply
    299.41x = 449.19 × 116.80
  4. Step 4: Simplify right side
    299.41x = 52,464.27
  5. Step 5: Solve for x
    x = 52,464.27/299.41
  6. Step 6: Final answer
    x = 175.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.