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Finding the Fourth Proportional to 331.02, 496.09 and 166.49

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Solution

The fourth proportional to 331.02, 496.09 and 166.49 is: 249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.02 : 496.09 = 166.49 : x
  2. Step 2: Convert to fraction form
    331.02/496.09 = 166.49/x
  3. Step 3: Cross multiply
    331.02x = 496.09 × 166.49
  4. Step 4: Simplify right side
    331.02x = 82,593.61
  5. Step 5: Solve for x
    x = 82,593.61/331.02
  6. Step 6: Final answer
    x = 249.51

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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.