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Finding the Fourth Proportional to 196.12, 293.82 and 110.44

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Solution

The fourth proportional to 196.12, 293.82 and 110.44 is: 165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.12 : 293.82 = 110.44 : x
  2. Step 2: Convert to fraction form
    196.12/293.82 = 110.44/x
  3. Step 3: Cross multiply
    196.12x = 293.82 × 110.44
  4. Step 4: Simplify right side
    196.12x = 32,449.48
  5. Step 5: Solve for x
    x = 32,449.48/196.12
  6. Step 6: Final answer
    x = 165.46

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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.