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Finding the Fourth Proportional to 311.93, 467.76 and 106.43

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Solution

The fourth proportional to 311.93, 467.76 and 106.43 is: 159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.93 : 467.76 = 106.43 : x
  2. Step 2: Convert to fraction form
    311.93/467.76 = 106.43/x
  3. Step 3: Cross multiply
    311.93x = 467.76 × 106.43
  4. Step 4: Simplify right side
    311.93x = 49,783.70
  5. Step 5: Solve for x
    x = 49,783.70/311.93
  6. Step 6: Final answer
    x = 159.60

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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.