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Finding the Fourth Proportional to 323.47, 446.19 and 199.03

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Solution

The fourth proportional to 323.47, 446.19 and 199.03 is: 274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.47 : 446.19 = 199.03 : x
  2. Step 2: Convert to fraction form
    323.47/446.19 = 199.03/x
  3. Step 3: Cross multiply
    323.47x = 446.19 × 199.03
  4. Step 4: Simplify right side
    323.47x = 88,805.20
  5. Step 5: Solve for x
    x = 88,805.20/323.47
  6. Step 6: Final answer
    x = 274.54

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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.