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Finding the Fourth Proportional to 323.12, 446.20 and 206.89

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Solution

The fourth proportional to 323.12, 446.20 and 206.89 is: 285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.12 : 446.20 = 206.89 : x
  2. Step 2: Convert to fraction form
    323.12/446.20 = 206.89/x
  3. Step 3: Cross multiply
    323.12x = 446.20 × 206.89
  4. Step 4: Simplify right side
    323.12x = 92,312.09
  5. Step 5: Solve for x
    x = 92,312.09/323.12
  6. Step 6: Final answer
    x = 285.69

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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.