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Finding the Fourth Proportional to 197, 271.86 and 109.70

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Solution

The fourth proportional to 197, 271.86 and 109.70 is: 151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197 : 271.86 = 109.70 : x
  2. Step 2: Convert to fraction form
    197/271.86 = 109.70/x
  3. Step 3: Cross multiply
    197x = 271.86 × 109.70
  4. Step 4: Simplify right side
    197x = 29,821.68
  5. Step 5: Solve for x
    x = 29,821.68/197
  6. Step 6: Final answer
    x = 151.38

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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.