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Finding the Fourth Proportional to 414.92, 622.38 and 106.78

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Solution

The fourth proportional to 414.92, 622.38 and 106.78 is: 160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.92 : 622.38 = 106.78 : x
  2. Step 2: Convert to fraction form
    414.92/622.38 = 106.78/x
  3. Step 3: Cross multiply
    414.92x = 622.38 × 106.78
  4. Step 4: Simplify right side
    414.92x = 66,458.62
  5. Step 5: Solve for x
    x = 66,458.62/414.92
  6. Step 6: Final answer
    x = 160.17

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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.