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Finding the Fourth Proportional to 196.78, 294.87 and 105.49

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Solution

The fourth proportional to 196.78, 294.87 and 105.49 is: 158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.78 : 294.87 = 105.49 : x
  2. Step 2: Convert to fraction form
    196.78/294.87 = 105.49/x
  3. Step 3: Cross multiply
    196.78x = 294.87 × 105.49
  4. Step 4: Simplify right side
    196.78x = 31,105.84
  5. Step 5: Solve for x
    x = 31,105.84/196.78
  6. Step 6: Final answer
    x = 158.07

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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.