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Finding the Fourth Proportional to 300.31, 414.05 and 189.78

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Solution

The fourth proportional to 300.31, 414.05 and 189.78 is: 261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.31 : 414.05 = 189.78 : x
  2. Step 2: Convert to fraction form
    300.31/414.05 = 189.78/x
  3. Step 3: Cross multiply
    300.31x = 414.05 × 189.78
  4. Step 4: Simplify right side
    300.31x = 78,575.91
  5. Step 5: Solve for x
    x = 78,575.91/300.31
  6. Step 6: Final answer
    x = 261.65

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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.