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Finding the Fourth Proportional to 311.90, 467.61 and 106.34

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Solution

The fourth proportional to 311.90, 467.61 and 106.34 is: 159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.90 : 467.61 = 106.34 : x
  2. Step 2: Convert to fraction form
    311.90/467.61 = 106.34/x
  3. Step 3: Cross multiply
    311.90x = 467.61 × 106.34
  4. Step 4: Simplify right side
    311.90x = 49,725.65
  5. Step 5: Solve for x
    x = 49,725.65/311.90
  6. Step 6: Final answer
    x = 159.43

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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.