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Finding the Fourth Proportional to 196.82, 271.77 and 134.78

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Solution

The fourth proportional to 196.82, 271.77 and 134.78 is: 186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.82 : 271.77 = 134.78 : x
  2. Step 2: Convert to fraction form
    196.82/271.77 = 134.78/x
  3. Step 3: Cross multiply
    196.82x = 271.77 × 134.78
  4. Step 4: Simplify right side
    196.82x = 36,629.16
  5. Step 5: Solve for x
    x = 36,629.16/196.82
  6. Step 6: Final answer
    x = 186.10

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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.