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Finding the Fourth Proportional to 323.38, 485.06 and 106.96

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Solution

The fourth proportional to 323.38, 485.06 and 106.96 is: 160.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.38 : 485.06 = 106.96 : x
  2. Step 2: Convert to fraction form
    323.38/485.06 = 106.96/x
  3. Step 3: Cross multiply
    323.38x = 485.06 × 106.96
  4. Step 4: Simplify right side
    323.38x = 51,882.02
  5. Step 5: Solve for x
    x = 51,882.02/323.38
  6. Step 6: Final answer
    x = 160.44

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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.