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Finding the Fourth Proportional to 312.29, 468.41 and 106.85

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Solution

The fourth proportional to 312.29, 468.41 and 106.85 is: 160.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.29 : 468.41 = 106.85 : x
  2. Step 2: Convert to fraction form
    312.29/468.41 = 106.85/x
  3. Step 3: Cross multiply
    312.29x = 468.41 × 106.85
  4. Step 4: Simplify right side
    312.29x = 50,046.73
  5. Step 5: Solve for x
    x = 50,046.73/312.29
  6. Step 6: Final answer
    x = 160.26

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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.