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Finding the Fourth Proportional to 197.05, 271.74 and 119.38

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Solution

The fourth proportional to 197.05, 271.74 and 119.38 is: 164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.05 : 271.74 = 119.38 : x
  2. Step 2: Convert to fraction form
    197.05/271.74 = 119.38/x
  3. Step 3: Cross multiply
    197.05x = 271.74 × 119.38
  4. Step 4: Simplify right side
    197.05x = 32,440.32
  5. Step 5: Solve for x
    x = 32,440.32/197.05
  6. Step 6: Final answer
    x = 164.63

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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.