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Finding the Fourth Proportional to 338.73, 508.09 and 95.25

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Solution

The fourth proportional to 338.73, 508.09 and 95.25 is: 142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.73 : 508.09 = 95.25 : x
  2. Step 2: Convert to fraction form
    338.73/508.09 = 95.25/x
  3. Step 3: Cross multiply
    338.73x = 508.09 × 95.25
  4. Step 4: Simplify right side
    338.73x = 48,392.56
  5. Step 5: Solve for x
    x = 48,392.56/338.73
  6. Step 6: Final answer
    x = 142.87

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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.