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Finding the Fourth Proportional to 311.91, 467.49 and 181.63

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Solution

The fourth proportional to 311.91, 467.49 and 181.63 is: 272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.91 : 467.49 = 181.63 : x
  2. Step 2: Convert to fraction form
    311.91/467.49 = 181.63/x
  3. Step 3: Cross multiply
    311.91x = 467.49 × 181.63
  4. Step 4: Simplify right side
    311.91x = 84,910.21
  5. Step 5: Solve for x
    x = 84,910.21/311.91
  6. Step 6: Final answer
    x = 272.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.