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Finding the Fourth Proportional to 196.20, 270.84 and 138.06

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Solution

The fourth proportional to 196.20, 270.84 and 138.06 is: 190.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.20 : 270.84 = 138.06 : x
  2. Step 2: Convert to fraction form
    196.20/270.84 = 138.06/x
  3. Step 3: Cross multiply
    196.20x = 270.84 × 138.06
  4. Step 4: Simplify right side
    196.20x = 37,392.17
  5. Step 5: Solve for x
    x = 37,392.17/196.20
  6. Step 6: Final answer
    x = 190.58

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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.