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Finding the Fourth Proportional to 323.38, 485.25 and 161.22

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Solution

The fourth proportional to 323.38, 485.25 and 161.22 is: 241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.38 : 485.25 = 161.22 : x
  2. Step 2: Convert to fraction form
    323.38/485.25 = 161.22/x
  3. Step 3: Cross multiply
    323.38x = 485.25 × 161.22
  4. Step 4: Simplify right side
    323.38x = 78,232.01
  5. Step 5: Solve for x
    x = 78,232.01/323.38
  6. Step 6: Final answer
    x = 241.92

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Why These Related Problems?

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