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Finding the Fourth Proportional to 414.74, 622.20 and 122.23

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Solution

The fourth proportional to 414.74, 622.20 and 122.23 is: 183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.74 : 622.20 = 122.23 : x
  2. Step 2: Convert to fraction form
    414.74/622.20 = 122.23/x
  3. Step 3: Cross multiply
    414.74x = 622.20 × 122.23
  4. Step 4: Simplify right side
    414.74x = 76,052.29
  5. Step 5: Solve for x
    x = 76,052.29/414.74
  6. Step 6: Final answer
    x = 183.38

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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.