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Finding the Fourth Proportional to 321.15, 481.82 and 147.81

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Solution

The fourth proportional to 321.15, 481.82 and 147.81 is: 221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.15 : 481.82 = 147.81 : x
  2. Step 2: Convert to fraction form
    321.15/481.82 = 147.81/x
  3. Step 3: Cross multiply
    321.15x = 481.82 × 147.81
  4. Step 4: Simplify right side
    321.15x = 71,217.81
  5. Step 5: Solve for x
    x = 71,217.81/321.15
  6. Step 6: Final answer
    x = 221.76

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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.