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Finding the Fourth Proportional to 414.10, 621.19 and 154.18

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Solution

The fourth proportional to 414.10, 621.19 and 154.18 is: 231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.10 : 621.19 = 154.18 : x
  2. Step 2: Convert to fraction form
    414.10/621.19 = 154.18/x
  3. Step 3: Cross multiply
    414.10x = 621.19 × 154.18
  4. Step 4: Simplify right side
    414.10x = 95,771.97
  5. Step 5: Solve for x
    x = 95,771.97/414.10
  6. Step 6: Final answer
    x = 231.28

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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.