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Finding the Fourth Proportional to 311.88, 467.81 and 165.41

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Solution

The fourth proportional to 311.88, 467.81 and 165.41 is: 248.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.88 : 467.81 = 165.41 : x
  2. Step 2: Convert to fraction form
    311.88/467.81 = 165.41/x
  3. Step 3: Cross multiply
    311.88x = 467.81 × 165.41
  4. Step 4: Simplify right side
    311.88x = 77,377.29
  5. Step 5: Solve for x
    x = 77,377.29/311.88
  6. Step 6: Final answer
    x = 248.10

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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.