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Finding the Fourth Proportional to 321.96, 481.84 and 193.80

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Solution

The fourth proportional to 321.96, 481.84 and 193.80 is: 290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.96 : 481.84 = 193.80 : x
  2. Step 2: Convert to fraction form
    321.96/481.84 = 193.80/x
  3. Step 3: Cross multiply
    321.96x = 481.84 × 193.80
  4. Step 4: Simplify right side
    321.96x = 93,380.59
  5. Step 5: Solve for x
    x = 93,380.59/321.96
  6. Step 6: Final answer
    x = 290.04

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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.