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Finding the Fourth Proportional to 414.74, 622.16 and 140.87

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Solution

The fourth proportional to 414.74, 622.16 and 140.87 is: 211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.74 : 622.16 = 140.87 : x
  2. Step 2: Convert to fraction form
    414.74/622.16 = 140.87/x
  3. Step 3: Cross multiply
    414.74x = 622.16 × 140.87
  4. Step 4: Simplify right side
    414.74x = 87,643.68
  5. Step 5: Solve for x
    x = 87,643.68/414.74
  6. Step 6: Final answer
    x = 211.32

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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.