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Finding the Fourth Proportional to 311.28, 467.21 and 181.43

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Solution

The fourth proportional to 311.28, 467.21 and 181.43 is: 272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.28 : 467.21 = 181.43 : x
  2. Step 2: Convert to fraction form
    311.28/467.21 = 181.43/x
  3. Step 3: Cross multiply
    311.28x = 467.21 × 181.43
  4. Step 4: Simplify right side
    311.28x = 84,762.67
  5. Step 5: Solve for x
    x = 84,762.67/311.28
  6. Step 6: Final answer
    x = 272.30

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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.