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Finding the Fourth Proportional to 311.75, 467.65 and 138.38

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Solution

The fourth proportional to 311.75, 467.65 and 138.38 is: 207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.75 : 467.65 = 138.38 : x
  2. Step 2: Convert to fraction form
    311.75/467.65 = 138.38/x
  3. Step 3: Cross multiply
    311.75x = 467.65 × 138.38
  4. Step 4: Simplify right side
    311.75x = 64,712.22
  5. Step 5: Solve for x
    x = 64,712.22/311.75
  6. Step 6: Final answer
    x = 207.58

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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.