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Finding the Fourth Proportional to 196.67, 271.41 and 109.35

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Solution

The fourth proportional to 196.67, 271.41 and 109.35 is: 150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.67 : 271.41 = 109.35 : x
  2. Step 2: Convert to fraction form
    196.67/271.41 = 109.35/x
  3. Step 3: Cross multiply
    196.67x = 271.41 × 109.35
  4. Step 4: Simplify right side
    196.67x = 29,677.05
  5. Step 5: Solve for x
    x = 29,677.05/196.67
  6. Step 6: Final answer
    x = 150.90

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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.