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Finding the Fourth Proportional to 199.92, 298.43 and 169.20

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Solution

The fourth proportional to 199.92, 298.43 and 169.20 is: 252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.92 : 298.43 = 169.20 : x
  2. Step 2: Convert to fraction form
    199.92/298.43 = 169.20/x
  3. Step 3: Cross multiply
    199.92x = 298.43 × 169.20
  4. Step 4: Simplify right side
    199.92x = 50,494.78
  5. Step 5: Solve for x
    x = 50,494.78/199.92
  6. Step 6: Final answer
    x = 252.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.