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Finding the Fourth Proportional to 382.20, 572.78 and 199.22

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Solution

The fourth proportional to 382.20, 572.78 and 199.22 is: 298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.20 : 572.78 = 199.22 : x
  2. Step 2: Convert to fraction form
    382.20/572.78 = 199.22/x
  3. Step 3: Cross multiply
    382.20x = 572.78 × 199.22
  4. Step 4: Simplify right side
    382.20x = 114,109.23
  5. Step 5: Solve for x
    x = 114,109.23/382.20
  6. Step 6: Final answer
    x = 298.56

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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.