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Finding the Fourth Proportional to 197.30, 270.77 and 178.83

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Solution

The fourth proportional to 197.30, 270.77 and 178.83 is: 245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.30 : 270.77 = 178.83 : x
  2. Step 2: Convert to fraction form
    197.30/270.77 = 178.83/x
  3. Step 3: Cross multiply
    197.30x = 270.77 × 178.83
  4. Step 4: Simplify right side
    197.30x = 48,420.90
  5. Step 5: Solve for x
    x = 48,420.90/197.30
  6. Step 6: Final answer
    x = 245.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.