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Finding the Fourth Proportional to 197.06, 271.82 and 119.40

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Solution

The fourth proportional to 197.06, 271.82 and 119.40 is: 164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.06 : 271.82 = 119.40 : x
  2. Step 2: Convert to fraction form
    197.06/271.82 = 119.40/x
  3. Step 3: Cross multiply
    197.06x = 271.82 × 119.40
  4. Step 4: Simplify right side
    197.06x = 32,455.31
  5. Step 5: Solve for x
    x = 32,455.31/197.06
  6. Step 6: Final answer
    x = 164.70

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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.