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Finding the Fourth Proportional to 408.53, 612.80 and 119.97

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Solution

The fourth proportional to 408.53, 612.80 and 119.97 is: 179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.53 : 612.80 = 119.97 : x
  2. Step 2: Convert to fraction form
    408.53/612.80 = 119.97/x
  3. Step 3: Cross multiply
    408.53x = 612.80 × 119.97
  4. Step 4: Simplify right side
    408.53x = 73,517.62
  5. Step 5: Solve for x
    x = 73,517.62/408.53
  6. Step 6: Final answer
    x = 179.96

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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.