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Finding the Fourth Proportional to 196.82, 271.82 and 180.42

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Solution

The fourth proportional to 196.82, 271.82 and 180.42 is: 249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.82 : 271.82 = 180.42 : x
  2. Step 2: Convert to fraction form
    196.82/271.82 = 180.42/x
  3. Step 3: Cross multiply
    196.82x = 271.82 × 180.42
  4. Step 4: Simplify right side
    196.82x = 49,041.76
  5. Step 5: Solve for x
    x = 49,041.76/196.82
  6. Step 6: Final answer
    x = 249.17

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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.