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Finding the Fourth Proportional to 323.16, 446.12 and 206.92

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Solution

The fourth proportional to 323.16, 446.12 and 206.92 is: 285.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.16 : 446.12 = 206.92 : x
  2. Step 2: Convert to fraction form
    323.16/446.12 = 206.92/x
  3. Step 3: Cross multiply
    323.16x = 446.12 × 206.92
  4. Step 4: Simplify right side
    323.16x = 92,311.15
  5. Step 5: Solve for x
    x = 92,311.15/323.16
  6. Step 6: Final answer
    x = 285.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.