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Finding the Fourth Proportional to 197.98, 273.18 and 119.32

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Solution

The fourth proportional to 197.98, 273.18 and 119.32 is: 164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.98 : 273.18 = 119.32 : x
  2. Step 2: Convert to fraction form
    197.98/273.18 = 119.32/x
  3. Step 3: Cross multiply
    197.98x = 273.18 × 119.32
  4. Step 4: Simplify right side
    197.98x = 32,595.84
  5. Step 5: Solve for x
    x = 32,595.84/197.98
  6. Step 6: Final answer
    x = 164.64

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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.