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Finding the Fourth Proportional to 285.92, 394.08 and 198.44

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Solution

The fourth proportional to 285.92, 394.08 and 198.44 is: 273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.92 : 394.08 = 198.44 : x
  2. Step 2: Convert to fraction form
    285.92/394.08 = 198.44/x
  3. Step 3: Cross multiply
    285.92x = 394.08 × 198.44
  4. Step 4: Simplify right side
    285.92x = 78,201.24
  5. Step 5: Solve for x
    x = 78,201.24/285.92
  6. Step 6: Final answer
    x = 273.51

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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.