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Finding the Fourth Proportional to 311.79, 467.57 and 106.30

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Solution

The fourth proportional to 311.79, 467.57 and 106.30 is: 159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.79 : 467.57 = 106.30 : x
  2. Step 2: Convert to fraction form
    311.79/467.57 = 106.30/x
  3. Step 3: Cross multiply
    311.79x = 467.57 × 106.30
  4. Step 4: Simplify right side
    311.79x = 49,703.54
  5. Step 5: Solve for x
    x = 49,703.54/311.79
  6. Step 6: Final answer
    x = 159.41

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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.