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Finding the Fourth Proportional to 414.08, 620.67 and 140.12

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Solution

The fourth proportional to 414.08, 620.67 and 140.12 is: 210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.08 : 620.67 = 140.12 : x
  2. Step 2: Convert to fraction form
    414.08/620.67 = 140.12/x
  3. Step 3: Cross multiply
    414.08x = 620.67 × 140.12
  4. Step 4: Simplify right side
    414.08x = 86,968.03
  5. Step 5: Solve for x
    x = 86,968.03/414.08
  6. Step 6: Final answer
    x = 210.03

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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.