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Finding the Fourth Proportional to 323.47, 446.36 and 199.13

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Solution

The fourth proportional to 323.47, 446.36 and 199.13 is: 274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.47 : 446.36 = 199.13 : x
  2. Step 2: Convert to fraction form
    323.47/446.36 = 199.13/x
  3. Step 3: Cross multiply
    323.47x = 446.36 × 199.13
  4. Step 4: Simplify right side
    323.47x = 88,885.28
  5. Step 5: Solve for x
    x = 88,885.28/323.47
  6. Step 6: Final answer
    x = 274.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.