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Finding the Fourth Proportional to 263.68, 396.38 and 187.19

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Solution

The fourth proportional to 263.68, 396.38 and 187.19 is: 281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.68 : 396.38 = 187.19 : x
  2. Step 2: Convert to fraction form
    263.68/396.38 = 187.19/x
  3. Step 3: Cross multiply
    263.68x = 396.38 × 187.19
  4. Step 4: Simplify right side
    263.68x = 74,198.34
  5. Step 5: Solve for x
    x = 74,198.34/263.68
  6. Step 6: Final answer
    x = 281.40

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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.