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Finding the Fourth Proportional to 196.19, 270.41 and 190.38

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Solution

The fourth proportional to 196.19, 270.41 and 190.38 is: 262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.19 : 270.41 = 190.38 : x
  2. Step 2: Convert to fraction form
    196.19/270.41 = 190.38/x
  3. Step 3: Cross multiply
    196.19x = 270.41 × 190.38
  4. Step 4: Simplify right side
    196.19x = 51,479.70
  5. Step 5: Solve for x
    x = 51,479.70/196.19
  6. Step 6: Final answer
    x = 262.40

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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.