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Finding the Fourth Proportional to 300.70, 415.02 and 202.78

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Solution

The fourth proportional to 300.70, 415.02 and 202.78 is: 279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.70 : 415.02 = 202.78 : x
  2. Step 2: Convert to fraction form
    300.70/415.02 = 202.78/x
  3. Step 3: Cross multiply
    300.70x = 415.02 × 202.78
  4. Step 4: Simplify right side
    300.70x = 84,157.76
  5. Step 5: Solve for x
    x = 84,157.76/300.70
  6. Step 6: Final answer
    x = 279.87

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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.