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Finding the Fourth Proportional to 196.33, 270.86 and 137.30

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Solution

The fourth proportional to 196.33, 270.86 and 137.30 is: 189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.33 : 270.86 = 137.30 : x
  2. Step 2: Convert to fraction form
    196.33/270.86 = 137.30/x
  3. Step 3: Cross multiply
    196.33x = 270.86 × 137.30
  4. Step 4: Simplify right side
    196.33x = 37,188.05
  5. Step 5: Solve for x
    x = 37,188.05/196.33
  6. Step 6: Final answer
    x = 189.42

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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.