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Finding the Fourth Proportional to 311.77, 467.49 and 138.24

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Solution

The fourth proportional to 311.77, 467.49 and 138.24 is: 207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.77 : 467.49 = 138.24 : x
  2. Step 2: Convert to fraction form
    311.77/467.49 = 138.24/x
  3. Step 3: Cross multiply
    311.77x = 467.49 × 138.24
  4. Step 4: Simplify right side
    311.77x = 64,625.82
  5. Step 5: Solve for x
    x = 64,625.82/311.77
  6. Step 6: Final answer
    x = 207.29

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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.