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Finding the Fourth Proportional to 299.64, 449.46 and 169.59

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Solution

The fourth proportional to 299.64, 449.46 and 169.59 is: 254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.64 : 449.46 = 169.59 : x
  2. Step 2: Convert to fraction form
    299.64/449.46 = 169.59/x
  3. Step 3: Cross multiply
    299.64x = 449.46 × 169.59
  4. Step 4: Simplify right side
    299.64x = 76,223.92
  5. Step 5: Solve for x
    x = 76,223.92/299.64
  6. Step 6: Final answer
    x = 254.39

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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.