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Finding the Fourth Proportional to 196.65, 271.29 and 113.74

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Solution

The fourth proportional to 196.65, 271.29 and 113.74 is: 156.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.65 : 271.29 = 113.74 : x
  2. Step 2: Convert to fraction form
    196.65/271.29 = 113.74/x
  3. Step 3: Cross multiply
    196.65x = 271.29 × 113.74
  4. Step 4: Simplify right side
    196.65x = 30,856.52
  5. Step 5: Solve for x
    x = 30,856.52/196.65
  6. Step 6: Final answer
    x = 156.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.