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Finding the Fourth Proportional to 197.70, 273.15 and 148.74

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Solution

The fourth proportional to 197.70, 273.15 and 148.74 is: 205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.70 : 273.15 = 148.74 : x
  2. Step 2: Convert to fraction form
    197.70/273.15 = 148.74/x
  3. Step 3: Cross multiply
    197.70x = 273.15 × 148.74
  4. Step 4: Simplify right side
    197.70x = 40,628.33
  5. Step 5: Solve for x
    x = 40,628.33/197.70
  6. Step 6: Final answer
    x = 205.50

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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.