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Finding the Fourth Proportional to 199.45, 298.85 and 191.96

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Solution

The fourth proportional to 199.45, 298.85 and 191.96 is: 287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.45 : 298.85 = 191.96 : x
  2. Step 2: Convert to fraction form
    199.45/298.85 = 191.96/x
  3. Step 3: Cross multiply
    199.45x = 298.85 × 191.96
  4. Step 4: Simplify right side
    199.45x = 57,366.29
  5. Step 5: Solve for x
    x = 57,366.29/199.45
  6. Step 6: Final answer
    x = 287.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.