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Finding the Fourth Proportional to 323.10, 445.68 and 198.54

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Solution

The fourth proportional to 323.10, 445.68 and 198.54 is: 273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.10 : 445.68 = 198.54 : x
  2. Step 2: Convert to fraction form
    323.10/445.68 = 198.54/x
  3. Step 3: Cross multiply
    323.10x = 445.68 × 198.54
  4. Step 4: Simplify right side
    323.10x = 88,485.31
  5. Step 5: Solve for x
    x = 88,485.31/323.10
  6. Step 6: Final answer
    x = 273.86

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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.