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Finding the Fourth Proportional to 323.13, 445.86 and 198.75

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Solution

The fourth proportional to 323.13, 445.86 and 198.75 is: 274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.13 : 445.86 = 198.75 : x
  2. Step 2: Convert to fraction form
    323.13/445.86 = 198.75/x
  3. Step 3: Cross multiply
    323.13x = 445.86 × 198.75
  4. Step 4: Simplify right side
    323.13x = 88,614.68
  5. Step 5: Solve for x
    x = 88,614.68/323.13
  6. Step 6: Final answer
    x = 274.24

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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.