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Finding the Fourth Proportional to 197.10, 271.66 and 134.82

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Solution

The fourth proportional to 197.10, 271.66 and 134.82 is: 185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.10 : 271.66 = 134.82 : x
  2. Step 2: Convert to fraction form
    197.10/271.66 = 134.82/x
  3. Step 3: Cross multiply
    197.10x = 271.66 × 134.82
  4. Step 4: Simplify right side
    197.10x = 36,625.37
  5. Step 5: Solve for x
    x = 36,625.37/197.10
  6. Step 6: Final answer
    x = 185.82

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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.