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Finding the Fourth Proportional to 331.98, 496.98 and 169.44

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Solution

The fourth proportional to 331.98, 496.98 and 169.44 is: 253.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.98 : 496.98 = 169.44 : x
  2. Step 2: Convert to fraction form
    331.98/496.98 = 169.44/x
  3. Step 3: Cross multiply
    331.98x = 496.98 × 169.44
  4. Step 4: Simplify right side
    331.98x = 84,208.29
  5. Step 5: Solve for x
    x = 84,208.29/331.98
  6. Step 6: Final answer
    x = 253.65

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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.