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Finding the Fourth Proportional to 323.40, 446.16 and 199.12

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Solution

The fourth proportional to 323.40, 446.16 and 199.12 is: 274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.40 : 446.16 = 199.12 : x
  2. Step 2: Convert to fraction form
    323.40/446.16 = 199.12/x
  3. Step 3: Cross multiply
    323.40x = 446.16 × 199.12
  4. Step 4: Simplify right side
    323.40x = 88,839.38
  5. Step 5: Solve for x
    x = 88,839.38/323.40
  6. Step 6: Final answer
    x = 274.70

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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.