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Finding the Fourth Proportional to 414.22, 621.32 and 140.31

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Solution

The fourth proportional to 414.22, 621.32 and 140.31 is: 210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.22 : 621.32 = 140.31 : x
  2. Step 2: Convert to fraction form
    414.22/621.32 = 140.31/x
  3. Step 3: Cross multiply
    414.22x = 621.32 × 140.31
  4. Step 4: Simplify right side
    414.22x = 87,177.41
  5. Step 5: Solve for x
    x = 87,177.41/414.22
  6. Step 6: Final answer
    x = 210.46

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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.