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Finding the Fourth Proportional to 196.61, 271.35 and 113.76

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Solution

The fourth proportional to 196.61, 271.35 and 113.76 is: 157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.61 : 271.35 = 113.76 : x
  2. Step 2: Convert to fraction form
    196.61/271.35 = 113.76/x
  3. Step 3: Cross multiply
    196.61x = 271.35 × 113.76
  4. Step 4: Simplify right side
    196.61x = 30,868.78
  5. Step 5: Solve for x
    x = 30,868.78/196.61
  6. Step 6: Final answer
    x = 157.01

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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.