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Finding the Fourth Proportional to 321.09, 481.70 and 166.97

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Solution

The fourth proportional to 321.09, 481.70 and 166.97 is: 250.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.09 : 481.70 = 166.97 : x
  2. Step 2: Convert to fraction form
    321.09/481.70 = 166.97/x
  3. Step 3: Cross multiply
    321.09x = 481.70 × 166.97
  4. Step 4: Simplify right side
    321.09x = 80,429.82
  5. Step 5: Solve for x
    x = 80,429.82/321.09
  6. Step 6: Final answer
    x = 250.49

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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.