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Finding the Fourth Proportional to 196.65, 271.22 and 138.42

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Solution

The fourth proportional to 196.65, 271.22 and 138.42 is: 190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.65 : 271.22 = 138.42 : x
  2. Step 2: Convert to fraction form
    196.65/271.22 = 138.42/x
  3. Step 3: Cross multiply
    196.65x = 271.22 × 138.42
  4. Step 4: Simplify right side
    196.65x = 37,541.58
  5. Step 5: Solve for x
    x = 37,541.58/196.65
  6. Step 6: Final answer
    x = 190.91

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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.