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Finding the Fourth Proportional to 196.37, 294.89 and 115.71

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Solution

The fourth proportional to 196.37, 294.89 and 115.71 is: 173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.37 : 294.89 = 115.71 : x
  2. Step 2: Convert to fraction form
    196.37/294.89 = 115.71/x
  3. Step 3: Cross multiply
    196.37x = 294.89 × 115.71
  4. Step 4: Simplify right side
    196.37x = 34,121.14
  5. Step 5: Solve for x
    x = 34,121.14/196.37
  6. Step 6: Final answer
    x = 173.76

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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.