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Finding the Fourth Proportional to 260.24, 389.51 and 191.73

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Solution

The fourth proportional to 260.24, 389.51 and 191.73 is: 286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.24 : 389.51 = 191.73 : x
  2. Step 2: Convert to fraction form
    260.24/389.51 = 191.73/x
  3. Step 3: Cross multiply
    260.24x = 389.51 × 191.73
  4. Step 4: Simplify right side
    260.24x = 74,679.79
  5. Step 5: Solve for x
    x = 74,679.79/260.24
  6. Step 6: Final answer
    x = 286.97

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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.