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Finding the Fourth Proportional to 197.30, 272.77 and 195.48

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Solution

The fourth proportional to 197.30, 272.77 and 195.48 is: 270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.30 : 272.77 = 195.48 : x
  2. Step 2: Convert to fraction form
    197.30/272.77 = 195.48/x
  3. Step 3: Cross multiply
    197.30x = 272.77 × 195.48
  4. Step 4: Simplify right side
    197.30x = 53,320.59
  5. Step 5: Solve for x
    x = 53,320.59/197.30
  6. Step 6: Final answer
    x = 270.25

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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.