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Finding the Fourth Proportional to 196.70, 271.46 and 109.37

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Solution

The fourth proportional to 196.70, 271.46 and 109.37 is: 150.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.70 : 271.46 = 109.37 : x
  2. Step 2: Convert to fraction form
    196.70/271.46 = 109.37/x
  3. Step 3: Cross multiply
    196.70x = 271.46 × 109.37
  4. Step 4: Simplify right side
    196.70x = 29,690.53
  5. Step 5: Solve for x
    x = 29,690.53/196.70
  6. Step 6: Final answer
    x = 150.95

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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.