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Finding the Fourth Proportional to 300.88, 415.39 and 197.56

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Solution

The fourth proportional to 300.88, 415.39 and 197.56 is: 272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.88 : 415.39 = 197.56 : x
  2. Step 2: Convert to fraction form
    300.88/415.39 = 197.56/x
  3. Step 3: Cross multiply
    300.88x = 415.39 × 197.56
  4. Step 4: Simplify right side
    300.88x = 82,064.45
  5. Step 5: Solve for x
    x = 82,064.45/300.88
  6. Step 6: Final answer
    x = 272.75

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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.