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Finding the Fourth Proportional to 321.08, 481.16 and 166.95

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Solution

The fourth proportional to 321.08, 481.16 and 166.95 is: 250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.08 : 481.16 = 166.95 : x
  2. Step 2: Convert to fraction form
    321.08/481.16 = 166.95/x
  3. Step 3: Cross multiply
    321.08x = 481.16 × 166.95
  4. Step 4: Simplify right side
    321.08x = 80,328.83
  5. Step 5: Solve for x
    x = 80,328.83/321.08
  6. Step 6: Final answer
    x = 250.19

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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.