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Finding the Fourth Proportional to 300.78, 415 and 202.82

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Solution

The fourth proportional to 300.78, 415 and 202.82 is: 279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.78 : 415 = 202.82 : x
  2. Step 2: Convert to fraction form
    300.78/415 = 202.82/x
  3. Step 3: Cross multiply
    300.78x = 415 × 202.82
  4. Step 4: Simplify right side
    300.78x = 84,170.30
  5. Step 5: Solve for x
    x = 84,170.30/300.78
  6. Step 6: Final answer
    x = 279.84

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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.