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Finding the Fourth Proportional to 196.44, 270.78 and 138.12

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Solution

The fourth proportional to 196.44, 270.78 and 138.12 is: 190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.44 : 270.78 = 138.12 : x
  2. Step 2: Convert to fraction form
    196.44/270.78 = 138.12/x
  3. Step 3: Cross multiply
    196.44x = 270.78 × 138.12
  4. Step 4: Simplify right side
    196.44x = 37,400.13
  5. Step 5: Solve for x
    x = 37,400.13/196.44
  6. Step 6: Final answer
    x = 190.39

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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.