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Finding the Fourth Proportional to 196.14, 293.83 and 114.73

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Solution

The fourth proportional to 196.14, 293.83 and 114.73 is: 171.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.14 : 293.83 = 114.73 : x
  2. Step 2: Convert to fraction form
    196.14/293.83 = 114.73/x
  3. Step 3: Cross multiply
    196.14x = 293.83 × 114.73
  4. Step 4: Simplify right side
    196.14x = 33,711.12
  5. Step 5: Solve for x
    x = 33,711.12/196.14
  6. Step 6: Final answer
    x = 171.87

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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.