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Finding the Fourth Proportional to 414.03, 620.94 and 140.12

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Solution

The fourth proportional to 414.03, 620.94 and 140.12 is: 210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.03 : 620.94 = 140.12 : x
  2. Step 2: Convert to fraction form
    414.03/620.94 = 140.12/x
  3. Step 3: Cross multiply
    414.03x = 620.94 × 140.12
  4. Step 4: Simplify right side
    414.03x = 87,006.11
  5. Step 5: Solve for x
    x = 87,006.11/414.03
  6. Step 6: Final answer
    x = 210.14

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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.