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Finding the Fourth Proportional to 196.36, 270.97 and 107.84

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Solution

The fourth proportional to 196.36, 270.97 and 107.84 is: 148.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.36 : 270.97 = 107.84 : x
  2. Step 2: Convert to fraction form
    196.36/270.97 = 107.84/x
  3. Step 3: Cross multiply
    196.36x = 270.97 × 107.84
  4. Step 4: Simplify right side
    196.36x = 29,221.40
  5. Step 5: Solve for x
    x = 29,221.40/196.36
  6. Step 6: Final answer
    x = 148.82

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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.