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Finding the Fourth Proportional to 196.38, 270.72 and 137.28

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Solution

The fourth proportional to 196.38, 270.72 and 137.28 is: 189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.38 : 270.72 = 137.28 : x
  2. Step 2: Convert to fraction form
    196.38/270.72 = 137.28/x
  3. Step 3: Cross multiply
    196.38x = 270.72 × 137.28
  4. Step 4: Simplify right side
    196.38x = 37,164.44
  5. Step 5: Solve for x
    x = 37,164.44/196.38
  6. Step 6: Final answer
    x = 189.25

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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.