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Finding the Fourth Proportional to 323.25, 446.15 and 185.25

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Solution

The fourth proportional to 323.25, 446.15 and 185.25 is: 255.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.25 : 446.15 = 185.25 : x
  2. Step 2: Convert to fraction form
    323.25/446.15 = 185.25/x
  3. Step 3: Cross multiply
    323.25x = 446.15 × 185.25
  4. Step 4: Simplify right side
    323.25x = 82,648.36
  5. Step 5: Solve for x
    x = 82,648.36/323.25
  6. Step 6: Final answer
    x = 255.68

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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.