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Finding the Fourth Proportional to 197.24, 295.85 and 68.99

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Solution

The fourth proportional to 197.24, 295.85 and 68.99 is: 103.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.24 : 295.85 = 68.99 : x
  2. Step 2: Convert to fraction form
    197.24/295.85 = 68.99/x
  3. Step 3: Cross multiply
    197.24x = 295.85 × 68.99
  4. Step 4: Simplify right side
    197.24x = 20,410.35
  5. Step 5: Solve for x
    x = 20,410.35/197.24
  6. Step 6: Final answer
    x = 103.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.