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Finding the Fourth Proportional to 196.05, 293.82 and 109.41

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Solution

The fourth proportional to 196.05, 293.82 and 109.41 is: 163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.05 : 293.82 = 109.41 : x
  2. Step 2: Convert to fraction form
    196.05/293.82 = 109.41/x
  3. Step 3: Cross multiply
    196.05x = 293.82 × 109.41
  4. Step 4: Simplify right side
    196.05x = 32,146.85
  5. Step 5: Solve for x
    x = 32,146.85/196.05
  6. Step 6: Final answer
    x = 163.97

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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.