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Finding the Fourth Proportional to 773.99, 1,161 and 196.86

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Solution

The fourth proportional to 773.99, 1,161 and 196.86 is: 295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.99 : 1,161 = 196.86 : x
  2. Step 2: Convert to fraction form
    773.99/1,161 = 196.86/x
  3. Step 3: Cross multiply
    773.99x = 1,161 × 196.86
  4. Step 4: Simplify right side
    773.99x = 228,558.81
  5. Step 5: Solve for x
    x = 228,558.81/773.99
  6. Step 6: Final answer
    x = 295.30

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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.