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Finding the Fourth Proportional to 338.94, 508.25 and 107.78

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Solution

The fourth proportional to 338.94, 508.25 and 107.78 is: 161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.94 : 508.25 = 107.78 : x
  2. Step 2: Convert to fraction form
    338.94/508.25 = 107.78/x
  3. Step 3: Cross multiply
    338.94x = 508.25 × 107.78
  4. Step 4: Simplify right side
    338.94x = 54,778.92
  5. Step 5: Solve for x
    x = 54,778.92/338.94
  6. Step 6: Final answer
    x = 161.62

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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.