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Finding the Fourth Proportional to 196.44, 271.09 and 107.92

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Solution

The fourth proportional to 196.44, 271.09 and 107.92 is: 148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.44 : 271.09 = 107.92 : x
  2. Step 2: Convert to fraction form
    196.44/271.09 = 107.92/x
  3. Step 3: Cross multiply
    196.44x = 271.09 × 107.92
  4. Step 4: Simplify right side
    196.44x = 29,256.03
  5. Step 5: Solve for x
    x = 29,256.03/196.44
  6. Step 6: Final answer
    x = 148.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.