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Finding the Fourth Proportional to 414.88, 622.16 and 154.80

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Solution

The fourth proportional to 414.88, 622.16 and 154.80 is: 232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.88 : 622.16 = 154.80 : x
  2. Step 2: Convert to fraction form
    414.88/622.16 = 154.80/x
  3. Step 3: Cross multiply
    414.88x = 622.16 × 154.80
  4. Step 4: Simplify right side
    414.88x = 96,310.37
  5. Step 5: Solve for x
    x = 96,310.37/414.88
  6. Step 6: Final answer
    x = 232.14

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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.