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Finding the Fourth Proportional to 196.92, 271.75 and 114.03

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Solution

The fourth proportional to 196.92, 271.75 and 114.03 is: 157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.92 : 271.75 = 114.03 : x
  2. Step 2: Convert to fraction form
    196.92/271.75 = 114.03/x
  3. Step 3: Cross multiply
    196.92x = 271.75 × 114.03
  4. Step 4: Simplify right side
    196.92x = 30,988.62
  5. Step 5: Solve for x
    x = 30,988.62/196.92
  6. Step 6: Final answer
    x = 157.37

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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.