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Finding the Fourth Proportional to 197.82, 273.06 and 154.26

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Solution

The fourth proportional to 197.82, 273.06 and 154.26 is: 212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.82 : 273.06 = 154.26 : x
  2. Step 2: Convert to fraction form
    197.82/273.06 = 154.26/x
  3. Step 3: Cross multiply
    197.82x = 273.06 × 154.26
  4. Step 4: Simplify right side
    197.82x = 42,122.24
  5. Step 5: Solve for x
    x = 42,122.24/197.82
  6. Step 6: Final answer
    x = 212.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.