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Finding the Fourth Proportional to 321.55, 481.81 and 191.24

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Solution

The fourth proportional to 321.55, 481.81 and 191.24 is: 286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.55 : 481.81 = 191.24 : x
  2. Step 2: Convert to fraction form
    321.55/481.81 = 191.24/x
  3. Step 3: Cross multiply
    321.55x = 481.81 × 191.24
  4. Step 4: Simplify right side
    321.55x = 92,143.03
  5. Step 5: Solve for x
    x = 92,143.03/321.55
  6. Step 6: Final answer
    x = 286.56

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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.