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Finding the Fourth Proportional to 323.25, 446.31 and 198.95

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Solution

The fourth proportional to 323.25, 446.31 and 198.95 is: 274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.25 : 446.31 = 198.95 : x
  2. Step 2: Convert to fraction form
    323.25/446.31 = 198.95/x
  3. Step 3: Cross multiply
    323.25x = 446.31 × 198.95
  4. Step 4: Simplify right side
    323.25x = 88,791.14
  5. Step 5: Solve for x
    x = 88,791.14/323.25
  6. Step 6: Final answer
    x = 274.69

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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.