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Finding the Fourth Proportional to 216.34, 323.90 and 165.19

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Solution

The fourth proportional to 216.34, 323.90 and 165.19 is: 247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.34 : 323.90 = 165.19 : x
  2. Step 2: Convert to fraction form
    216.34/323.90 = 165.19/x
  3. Step 3: Cross multiply
    216.34x = 323.90 × 165.19
  4. Step 4: Simplify right side
    216.34x = 53,505.04
  5. Step 5: Solve for x
    x = 53,505.04/216.34
  6. Step 6: Final answer
    x = 247.32

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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.