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Finding the Fourth Proportional to 321.86, 481.42 and 198.16

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Solution

The fourth proportional to 321.86, 481.42 and 198.16 is: 296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.86 : 481.42 = 198.16 : x
  2. Step 2: Convert to fraction form
    321.86/481.42 = 198.16/x
  3. Step 3: Cross multiply
    321.86x = 481.42 × 198.16
  4. Step 4: Simplify right side
    321.86x = 95,397.23
  5. Step 5: Solve for x
    x = 95,397.23/321.86
  6. Step 6: Final answer
    x = 296.39

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Why These Related Problems?

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