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Finding the Fourth Proportional to 196.76, 271.55 and 113.87

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Solution

The fourth proportional to 196.76, 271.55 and 113.87 is: 157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.76 : 271.55 = 113.87 : x
  2. Step 2: Convert to fraction form
    196.76/271.55 = 113.87/x
  3. Step 3: Cross multiply
    196.76x = 271.55 × 113.87
  4. Step 4: Simplify right side
    196.76x = 30,920.33
  5. Step 5: Solve for x
    x = 30,920.33/196.76
  6. Step 6: Final answer
    x = 157.15

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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.