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Finding the Fourth Proportional to 196.66, 271.39 and 109.34

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Solution

The fourth proportional to 196.66, 271.39 and 109.34 is: 150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.66 : 271.39 = 109.34 : x
  2. Step 2: Convert to fraction form
    196.66/271.39 = 109.34/x
  3. Step 3: Cross multiply
    196.66x = 271.39 × 109.34
  4. Step 4: Simplify right side
    196.66x = 29,671.88
  5. Step 5: Solve for x
    x = 29,671.88/196.66
  6. Step 6: Final answer
    x = 150.88

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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.