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Finding the Fourth Proportional to 263.58, 394.40 and 191.28

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Solution

The fourth proportional to 263.58, 394.40 and 191.28 is: 286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.58 : 394.40 = 191.28 : x
  2. Step 2: Convert to fraction form
    263.58/394.40 = 191.28/x
  3. Step 3: Cross multiply
    263.58x = 394.40 × 191.28
  4. Step 4: Simplify right side
    263.58x = 75,439.88
  5. Step 5: Solve for x
    x = 75,439.88/263.58
  6. Step 6: Final answer
    x = 286.21

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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.