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Finding the Fourth Proportional to 381.62, 572.52 and 198.97

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Solution

The fourth proportional to 381.62, 572.52 and 198.97 is: 298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.62 : 572.52 = 198.97 : x
  2. Step 2: Convert to fraction form
    381.62/572.52 = 198.97/x
  3. Step 3: Cross multiply
    381.62x = 572.52 × 198.97
  4. Step 4: Simplify right side
    381.62x = 113,913.31
  5. Step 5: Solve for x
    x = 113,913.31/381.62
  6. Step 6: Final answer
    x = 298.50

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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.