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Finding the Fourth Proportional to 196.59, 271.27 and 113.69

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Solution

The fourth proportional to 196.59, 271.27 and 113.69 is: 156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.59 : 271.27 = 113.69 : x
  2. Step 2: Convert to fraction form
    196.59/271.27 = 113.69/x
  3. Step 3: Cross multiply
    196.59x = 271.27 × 113.69
  4. Step 4: Simplify right side
    196.59x = 30,839.34
  5. Step 5: Solve for x
    x = 30,839.34/196.59
  6. Step 6: Final answer
    x = 156.87

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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.