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Finding the Fourth Proportional to 196.13, 270.65 and 108.80

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Solution

The fourth proportional to 196.13, 270.65 and 108.80 is: 150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.13 : 270.65 = 108.80 : x
  2. Step 2: Convert to fraction form
    196.13/270.65 = 108.80/x
  3. Step 3: Cross multiply
    196.13x = 270.65 × 108.80
  4. Step 4: Simplify right side
    196.13x = 29,447.67
  5. Step 5: Solve for x
    x = 29,447.67/196.13
  6. Step 6: Final answer
    x = 150.15

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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.