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Finding the Fourth Proportional to 338.80, 508.22 and 107.71

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Solution

The fourth proportional to 338.80, 508.22 and 107.71 is: 161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.80 : 508.22 = 107.71 : x
  2. Step 2: Convert to fraction form
    338.80/508.22 = 107.71/x
  3. Step 3: Cross multiply
    338.80x = 508.22 × 107.71
  4. Step 4: Simplify right side
    338.80x = 54,738.67
  5. Step 5: Solve for x
    x = 54,738.67/338.80
  6. Step 6: Final answer
    x = 161.57

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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.