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Finding the Fourth Proportional to 196.72, 271.48 and 113.84

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Solution

The fourth proportional to 196.72, 271.48 and 113.84 is: 157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.72 : 271.48 = 113.84 : x
  2. Step 2: Convert to fraction form
    196.72/271.48 = 113.84/x
  3. Step 3: Cross multiply
    196.72x = 271.48 × 113.84
  4. Step 4: Simplify right side
    196.72x = 30,905.28
  5. Step 5: Solve for x
    x = 30,905.28/196.72
  6. Step 6: Final answer
    x = 157.10

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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.