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Finding the Fourth Proportional to 196.87, 271.47 and 163.66

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Solution

The fourth proportional to 196.87, 271.47 and 163.66 is: 225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.87 : 271.47 = 163.66 : x
  2. Step 2: Convert to fraction form
    196.87/271.47 = 163.66/x
  3. Step 3: Cross multiply
    196.87x = 271.47 × 163.66
  4. Step 4: Simplify right side
    196.87x = 44,428.78
  5. Step 5: Solve for x
    x = 44,428.78/196.87
  6. Step 6: Final answer
    x = 225.68

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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.