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Finding the Fourth Proportional to 381.30, 571.33 and 198.44

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Solution

The fourth proportional to 381.30, 571.33 and 198.44 is: 297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.30 : 571.33 = 198.44 : x
  2. Step 2: Convert to fraction form
    381.30/571.33 = 198.44/x
  3. Step 3: Cross multiply
    381.30x = 571.33 × 198.44
  4. Step 4: Simplify right side
    381.30x = 113,374.73
  5. Step 5: Solve for x
    x = 113,374.73/381.30
  6. Step 6: Final answer
    x = 297.34

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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.