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Finding the Fourth Proportional to 300.90, 415.42 and 202.76

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Solution

The fourth proportional to 300.90, 415.42 and 202.76 is: 279.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.90 : 415.42 = 202.76 : x
  2. Step 2: Convert to fraction form
    300.90/415.42 = 202.76/x
  3. Step 3: Cross multiply
    300.90x = 415.42 × 202.76
  4. Step 4: Simplify right side
    300.90x = 84,227.98
  5. Step 5: Solve for x
    x = 84,227.98/300.90
  6. Step 6: Final answer
    x = 279.92

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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.