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Finding the Fourth Proportional to 196.57, 271.21 and 113.65

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Solution

The fourth proportional to 196.57, 271.21 and 113.65 is: 156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.57 : 271.21 = 113.65 : x
  2. Step 2: Convert to fraction form
    196.57/271.21 = 113.65/x
  3. Step 3: Cross multiply
    196.57x = 271.21 × 113.65
  4. Step 4: Simplify right side
    196.57x = 30,823.02
  5. Step 5: Solve for x
    x = 30,823.02/196.57
  6. Step 6: Final answer
    x = 156.80

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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.