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Finding the Fourth Proportional to 320.83, 481.69 and 166.87

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Solution

The fourth proportional to 320.83, 481.69 and 166.87 is: 250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.83 : 481.69 = 166.87 : x
  2. Step 2: Convert to fraction form
    320.83/481.69 = 166.87/x
  3. Step 3: Cross multiply
    320.83x = 481.69 × 166.87
  4. Step 4: Simplify right side
    320.83x = 80,379.61
  5. Step 5: Solve for x
    x = 80,379.61/320.83
  6. Step 6: Final answer
    x = 250.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.