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Finding the Fourth Proportional to 321.47, 481.91 and 115.99

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Solution

The fourth proportional to 321.47, 481.91 and 115.99 is: 173.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.47 : 481.91 = 115.99 : x
  2. Step 2: Convert to fraction form
    321.47/481.91 = 115.99/x
  3. Step 3: Cross multiply
    321.47x = 481.91 × 115.99
  4. Step 4: Simplify right side
    321.47x = 55,897.06
  5. Step 5: Solve for x
    x = 55,897.06/321.47
  6. Step 6: Final answer
    x = 173.88

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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.