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Finding the Fourth Proportional to 196.19, 270.87 and 149.80

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Solution

The fourth proportional to 196.19, 270.87 and 149.80 is: 206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.19 : 270.87 = 149.80 : x
  2. Step 2: Convert to fraction form
    196.19/270.87 = 149.80/x
  3. Step 3: Cross multiply
    196.19x = 270.87 × 149.80
  4. Step 4: Simplify right side
    196.19x = 40,576.33
  5. Step 5: Solve for x
    x = 40,576.33/196.19
  6. Step 6: Final answer
    x = 206.82

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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.