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Finding the Fourth Proportional to 196.22, 270.74 and 108.88

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Solution

The fourth proportional to 196.22, 270.74 and 108.88 is: 150.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.22 : 270.74 = 108.88 : x
  2. Step 2: Convert to fraction form
    196.22/270.74 = 108.88/x
  3. Step 3: Cross multiply
    196.22x = 270.74 × 108.88
  4. Step 4: Simplify right side
    196.22x = 29,478.17
  5. Step 5: Solve for x
    x = 29,478.17/196.22
  6. Step 6: Final answer
    x = 150.23

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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.