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Finding the Fourth Proportional to 216.27, 323.92 and 199.41

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Solution

The fourth proportional to 216.27, 323.92 and 199.41 is: 298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.27 : 323.92 = 199.41 : x
  2. Step 2: Convert to fraction form
    216.27/323.92 = 199.41/x
  3. Step 3: Cross multiply
    216.27x = 323.92 × 199.41
  4. Step 4: Simplify right side
    216.27x = 64,592.89
  5. Step 5: Solve for x
    x = 64,592.89/216.27
  6. Step 6: Final answer
    x = 298.67

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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.