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Finding the Fourth Proportional to 323.43, 446.25 and 199.02

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Solution

The fourth proportional to 323.43, 446.25 and 199.02 is: 274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.43 : 446.25 = 199.02 : x
  2. Step 2: Convert to fraction form
    323.43/446.25 = 199.02/x
  3. Step 3: Cross multiply
    323.43x = 446.25 × 199.02
  4. Step 4: Simplify right side
    323.43x = 88,812.68
  5. Step 5: Solve for x
    x = 88,812.68/323.43
  6. Step 6: Final answer
    x = 274.60

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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.