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Finding the Fourth Proportional to 196.37, 270.97 and 109.05

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Solution

The fourth proportional to 196.37, 270.97 and 109.05 is: 150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.37 : 270.97 = 109.05 : x
  2. Step 2: Convert to fraction form
    196.37/270.97 = 109.05/x
  3. Step 3: Cross multiply
    196.37x = 270.97 × 109.05
  4. Step 4: Simplify right side
    196.37x = 29,549.28
  5. Step 5: Solve for x
    x = 29,549.28/196.37
  6. Step 6: Final answer
    x = 150.48

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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.