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Finding the Fourth Proportional to 196.73, 271.39 and 134.62

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Solution

The fourth proportional to 196.73, 271.39 and 134.62 is: 185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.73 : 271.39 = 134.62 : x
  2. Step 2: Convert to fraction form
    196.73/271.39 = 134.62/x
  3. Step 3: Cross multiply
    196.73x = 271.39 × 134.62
  4. Step 4: Simplify right side
    196.73x = 36,534.52
  5. Step 5: Solve for x
    x = 36,534.52/196.73
  6. Step 6: Final answer
    x = 185.71

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