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Finding the Fourth Proportional to 321.75, 481.86 and 199.64

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Solution

The fourth proportional to 321.75, 481.86 and 199.64 is: 298.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.75 : 481.86 = 199.64 : x
  2. Step 2: Convert to fraction form
    321.75/481.86 = 199.64/x
  3. Step 3: Cross multiply
    321.75x = 481.86 × 199.64
  4. Step 4: Simplify right side
    321.75x = 96,199.74
  5. Step 5: Solve for x
    x = 96,199.74/321.75
  6. Step 6: Final answer
    x = 298.99

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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.