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Finding the Fourth Proportional to 300.05, 414.15 and 189.56

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Solution

The fourth proportional to 300.05, 414.15 and 189.56 is: 261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.05 : 414.15 = 189.56 : x
  2. Step 2: Convert to fraction form
    300.05/414.15 = 189.56/x
  3. Step 3: Cross multiply
    300.05x = 414.15 × 189.56
  4. Step 4: Simplify right side
    300.05x = 78,506.27
  5. Step 5: Solve for x
    x = 78,506.27/300.05
  6. Step 6: Final answer
    x = 261.64

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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.