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Finding the Fourth Proportional to 196.88, 272.02 and 138.08

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Solution

The fourth proportional to 196.88, 272.02 and 138.08 is: 190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.88 : 272.02 = 138.08 : x
  2. Step 2: Convert to fraction form
    196.88/272.02 = 138.08/x
  3. Step 3: Cross multiply
    196.88x = 272.02 × 138.08
  4. Step 4: Simplify right side
    196.88x = 37,560.86
  5. Step 5: Solve for x
    x = 37,560.86/196.88
  6. Step 6: Final answer
    x = 190.79

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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.