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Finding the Fourth Proportional to 312.29, 467.92 and 106.74

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Solution

The fourth proportional to 312.29, 467.92 and 106.74 is: 159.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.29 : 467.92 = 106.74 : x
  2. Step 2: Convert to fraction form
    312.29/467.92 = 106.74/x
  3. Step 3: Cross multiply
    312.29x = 467.92 × 106.74
  4. Step 4: Simplify right side
    312.29x = 49,945.83
  5. Step 5: Solve for x
    x = 49,945.83/312.29
  6. Step 6: Final answer
    x = 159.94

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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.