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Finding the Fourth Proportional to 197.06, 271.89 and 135.09

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Solution

The fourth proportional to 197.06, 271.89 and 135.09 is: 186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.06 : 271.89 = 135.09 : x
  2. Step 2: Convert to fraction form
    197.06/271.89 = 135.09/x
  3. Step 3: Cross multiply
    197.06x = 271.89 × 135.09
  4. Step 4: Simplify right side
    197.06x = 36,729.62
  5. Step 5: Solve for x
    x = 36,729.62/197.06
  6. Step 6: Final answer
    x = 186.39

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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.