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Finding the Fourth Proportional to 320.96, 481.14 and 166.59

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Solution

The fourth proportional to 320.96, 481.14 and 166.59 is: 249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.96 : 481.14 = 166.59 : x
  2. Step 2: Convert to fraction form
    320.96/481.14 = 166.59/x
  3. Step 3: Cross multiply
    320.96x = 481.14 × 166.59
  4. Step 4: Simplify right side
    320.96x = 80,153.11
  5. Step 5: Solve for x
    x = 80,153.11/320.96
  6. Step 6: Final answer
    x = 249.73

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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.