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Finding the Fourth Proportional to 196.31, 270.92 and 109.00

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Solution

The fourth proportional to 196.31, 270.92 and 109.00 is: 150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.31 : 270.92 = 109.00 : x
  2. Step 2: Convert to fraction form
    196.31/270.92 = 109.00/x
  3. Step 3: Cross multiply
    196.31x = 270.92 × 109.00
  4. Step 4: Simplify right side
    196.31x = 29,529.06
  5. Step 5: Solve for x
    x = 29,529.06/196.31
  6. Step 6: Final answer
    x = 150.42

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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.