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Finding the Fourth Proportional to 323.53, 446.48 and 199.15

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Solution

The fourth proportional to 323.53, 446.48 and 199.15 is: 274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.53 : 446.48 = 199.15 : x
  2. Step 2: Convert to fraction form
    323.53/446.48 = 199.15/x
  3. Step 3: Cross multiply
    323.53x = 446.48 × 199.15
  4. Step 4: Simplify right side
    323.53x = 88,916.49
  5. Step 5: Solve for x
    x = 88,916.49/323.53
  6. Step 6: Final answer
    x = 274.83

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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.