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Finding the Fourth Proportional to 321.18, 480.96 and 199.68

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Solution

The fourth proportional to 321.18, 480.96 and 199.68 is: 299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.18 : 480.96 = 199.68 : x
  2. Step 2: Convert to fraction form
    321.18/480.96 = 199.68/x
  3. Step 3: Cross multiply
    321.18x = 480.96 × 199.68
  4. Step 4: Simplify right side
    321.18x = 96,038.09
  5. Step 5: Solve for x
    x = 96,038.09/321.18
  6. Step 6: Final answer
    x = 299.02

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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.