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Finding the Fourth Proportional to 320.80, 481.32 and 166.82

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Solution

The fourth proportional to 320.80, 481.32 and 166.82 is: 250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.80 : 481.32 = 166.82 : x
  2. Step 2: Convert to fraction form
    320.80/481.32 = 166.82/x
  3. Step 3: Cross multiply
    320.80x = 481.32 × 166.82
  4. Step 4: Simplify right side
    320.80x = 80,292.39
  5. Step 5: Solve for x
    x = 80,292.39/320.80
  6. Step 6: Final answer
    x = 250.29

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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.