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Finding the Fourth Proportional to 196.31, 270.91 and 108.99

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Solution

The fourth proportional to 196.31, 270.91 and 108.99 is: 150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.31 : 270.91 = 108.99 : x
  2. Step 2: Convert to fraction form
    196.31/270.91 = 108.99/x
  3. Step 3: Cross multiply
    196.31x = 270.91 × 108.99
  4. Step 4: Simplify right side
    196.31x = 29,526.62
  5. Step 5: Solve for x
    x = 29,526.62/196.31
  6. Step 6: Final answer
    x = 150.41

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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.