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Finding the Fourth Proportional to 216.34, 323.91 and 168.34

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Solution

The fourth proportional to 216.34, 323.91 and 168.34 is: 252.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.34 : 323.91 = 168.34 : x
  2. Step 2: Convert to fraction form
    216.34/323.91 = 168.34/x
  3. Step 3: Cross multiply
    216.34x = 323.91 × 168.34
  4. Step 4: Simplify right side
    216.34x = 54,527.01
  5. Step 5: Solve for x
    x = 54,527.01/216.34
  6. Step 6: Final answer
    x = 252.04

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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.