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Finding the Fourth Proportional to 323, 445.62 and 198.68

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Solution

The fourth proportional to 323, 445.62 and 198.68 is: 274.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    323 : 445.62 = 198.68 : x
  2. Step 2: Convert to fraction form
    323/445.62 = 198.68/x
  3. Step 3: Cross multiply
    323x = 445.62 × 198.68
  4. Step 4: Simplify right side
    323x = 88,535.78
  5. Step 5: Solve for x
    x = 88,535.78/323
  6. Step 6: Final answer
    x = 274.10

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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.