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Finding the Fourth Proportional to 323.26, 446.25 and 206.89

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Solution

The fourth proportional to 323.26, 446.25 and 206.89 is: 285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.26 : 446.25 = 206.89 : x
  2. Step 2: Convert to fraction form
    323.26/446.25 = 206.89/x
  3. Step 3: Cross multiply
    323.26x = 446.25 × 206.89
  4. Step 4: Simplify right side
    323.26x = 92,324.66
  5. Step 5: Solve for x
    x = 92,324.66/323.26
  6. Step 6: Final answer
    x = 285.60

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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.