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Finding the Fourth Proportional to 196.71, 271.52 and 113.83

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Solution

The fourth proportional to 196.71, 271.52 and 113.83 is: 157.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.71 : 271.52 = 113.83 : x
  2. Step 2: Convert to fraction form
    196.71/271.52 = 113.83/x
  3. Step 3: Cross multiply
    196.71x = 271.52 × 113.83
  4. Step 4: Simplify right side
    196.71x = 30,907.12
  5. Step 5: Solve for x
    x = 30,907.12/196.71
  6. Step 6: Final answer
    x = 157.12

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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.