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Finding the Fourth Proportional to 311.94, 467.56 and 106.40

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Solution

The fourth proportional to 311.94, 467.56 and 106.40 is: 159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.94 : 467.56 = 106.40 : x
  2. Step 2: Convert to fraction form
    311.94/467.56 = 106.40/x
  3. Step 3: Cross multiply
    311.94x = 467.56 × 106.40
  4. Step 4: Simplify right side
    311.94x = 49,749.69
  5. Step 5: Solve for x
    x = 49,749.69/311.94
  6. Step 6: Final answer
    x = 159.48

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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.