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Finding the Fourth Proportional to 331.43, 497.16 and 111.96

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Solution

The fourth proportional to 331.43, 497.16 and 111.96 is: 167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.43 : 497.16 = 111.96 : x
  2. Step 2: Convert to fraction form
    331.43/497.16 = 111.96/x
  3. Step 3: Cross multiply
    331.43x = 497.16 × 111.96
  4. Step 4: Simplify right side
    331.43x = 55,662.03
  5. Step 5: Solve for x
    x = 55,662.03/331.43
  6. Step 6: Final answer
    x = 167.95

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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.