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Finding the Fourth Proportional to 311.75, 467.63 and 95.33

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Solution

The fourth proportional to 311.75, 467.63 and 95.33 is: 142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.75 : 467.63 = 95.33 : x
  2. Step 2: Convert to fraction form
    311.75/467.63 = 95.33/x
  3. Step 3: Cross multiply
    311.75x = 467.63 × 95.33
  4. Step 4: Simplify right side
    311.75x = 44,576.35
  5. Step 5: Solve for x
    x = 44,576.35/311.75
  6. Step 6: Final answer
    x = 142.99

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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.