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Finding the Fourth Proportional to 197.28, 273.63 and 189.99

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Solution

The fourth proportional to 197.28, 273.63 and 189.99 is: 263.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.28 : 273.63 = 189.99 : x
  2. Step 2: Convert to fraction form
    197.28/273.63 = 189.99/x
  3. Step 3: Cross multiply
    197.28x = 273.63 × 189.99
  4. Step 4: Simplify right side
    197.28x = 51,986.96
  5. Step 5: Solve for x
    x = 51,986.96/197.28
  6. Step 6: Final answer
    x = 263.52

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.