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Finding the Fourth Proportional to 408.38, 612.57 and 119.82

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Solution

The fourth proportional to 408.38, 612.57 and 119.82 is: 179.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.38 : 612.57 = 119.82 : x
  2. Step 2: Convert to fraction form
    408.38/612.57 = 119.82/x
  3. Step 3: Cross multiply
    408.38x = 612.57 × 119.82
  4. Step 4: Simplify right side
    408.38x = 73,398.14
  5. Step 5: Solve for x
    x = 73,398.14/408.38
  6. Step 6: Final answer
    x = 179.73

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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.