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Finding the Fourth Proportional to 196.29, 270.90 and 137.30

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Solution

The fourth proportional to 196.29, 270.90 and 137.30 is: 189.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.29 : 270.90 = 137.30 : x
  2. Step 2: Convert to fraction form
    196.29/270.90 = 137.30/x
  3. Step 3: Cross multiply
    196.29x = 270.90 × 137.30
  4. Step 4: Simplify right side
    196.29x = 37,193.22
  5. Step 5: Solve for x
    x = 37,193.22/196.29
  6. Step 6: Final answer
    x = 189.48

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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.