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Finding the Fourth Proportional to 300.95, 415.23 and 202.73

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Solution

The fourth proportional to 300.95, 415.23 and 202.73 is: 279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.95 : 415.23 = 202.73 : x
  2. Step 2: Convert to fraction form
    300.95/415.23 = 202.73/x
  3. Step 3: Cross multiply
    300.95x = 415.23 × 202.73
  4. Step 4: Simplify right side
    300.95x = 84,179.58
  5. Step 5: Solve for x
    x = 84,179.58/300.95
  6. Step 6: Final answer
    x = 279.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.