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Finding the Fourth Proportional to 196.50, 271.14 and 113.62

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Solution

The fourth proportional to 196.50, 271.14 and 113.62 is: 156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.50 : 271.14 = 113.62 : x
  2. Step 2: Convert to fraction form
    196.50/271.14 = 113.62/x
  3. Step 3: Cross multiply
    196.50x = 271.14 × 113.62
  4. Step 4: Simplify right side
    196.50x = 30,805.00
  5. Step 5: Solve for x
    x = 30,805.00/196.50
  6. Step 6: Final answer
    x = 156.77

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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.