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Finding the Fourth Proportional to 196.92, 271.75 and 109.59

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Solution

The fourth proportional to 196.92, 271.75 and 109.59 is: 151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.92 : 271.75 = 109.59 : x
  2. Step 2: Convert to fraction form
    196.92/271.75 = 109.59/x
  3. Step 3: Cross multiply
    196.92x = 271.75 × 109.59
  4. Step 4: Simplify right side
    196.92x = 29,782.24
  5. Step 5: Solve for x
    x = 29,782.24/196.92
  6. Step 6: Final answer
    x = 151.24

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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.