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Finding the Fourth Proportional to 196.63, 271.41 and 122.91

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Solution

The fourth proportional to 196.63, 271.41 and 122.91 is: 169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.63 : 271.41 = 122.91 : x
  2. Step 2: Convert to fraction form
    196.63/271.41 = 122.91/x
  3. Step 3: Cross multiply
    196.63x = 271.41 × 122.91
  4. Step 4: Simplify right side
    196.63x = 33,359.00
  5. Step 5: Solve for x
    x = 33,359.00/196.63
  6. Step 6: Final answer
    x = 169.65

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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.