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Finding the Fourth Proportional to 320.82, 481.31 and 166.83

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Solution

The fourth proportional to 320.82, 481.31 and 166.83 is: 250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.82 : 481.31 = 166.83 : x
  2. Step 2: Convert to fraction form
    320.82/481.31 = 166.83/x
  3. Step 3: Cross multiply
    320.82x = 481.31 × 166.83
  4. Step 4: Simplify right side
    320.82x = 80,296.11
  5. Step 5: Solve for x
    x = 80,296.11/320.82
  6. Step 6: Final answer
    x = 250.28

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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.