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Finding the Fourth Proportional to 321.66, 481.71 and 199.55

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Solution

The fourth proportional to 321.66, 481.71 and 199.55 is: 298.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.66 : 481.71 = 199.55 : x
  2. Step 2: Convert to fraction form
    321.66/481.71 = 199.55/x
  3. Step 3: Cross multiply
    321.66x = 481.71 × 199.55
  4. Step 4: Simplify right side
    321.66x = 96,122.82
  5. Step 5: Solve for x
    x = 96,122.82/321.66
  6. Step 6: Final answer
    x = 298.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.