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Finding the Fourth Proportional to 414.46, 621.69 and 125.90

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Solution

The fourth proportional to 414.46, 621.69 and 125.90 is: 188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.46 : 621.69 = 125.90 : x
  2. Step 2: Convert to fraction form
    414.46/621.69 = 125.90/x
  3. Step 3: Cross multiply
    414.46x = 621.69 × 125.90
  4. Step 4: Simplify right side
    414.46x = 78,269.22
  5. Step 5: Solve for x
    x = 78,269.22/414.46
  6. Step 6: Final answer
    x = 188.85

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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.