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Finding the Fourth Proportional to 414.14, 621.29 and 140.26

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Solution

The fourth proportional to 414.14, 621.29 and 140.26 is: 210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.14 : 621.29 = 140.26 : x
  2. Step 2: Convert to fraction form
    414.14/621.29 = 140.26/x
  3. Step 3: Cross multiply
    414.14x = 621.29 × 140.26
  4. Step 4: Simplify right side
    414.14x = 87,142.14
  5. Step 5: Solve for x
    x = 87,142.14/414.14
  6. Step 6: Final answer
    x = 210.42

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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.