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Finding the Fourth Proportional to 300.05, 414.10 and 189.52

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Solution

The fourth proportional to 300.05, 414.10 and 189.52 is: 261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.05 : 414.10 = 189.52 : x
  2. Step 2: Convert to fraction form
    300.05/414.10 = 189.52/x
  3. Step 3: Cross multiply
    300.05x = 414.10 × 189.52
  4. Step 4: Simplify right side
    300.05x = 78,480.70
  5. Step 5: Solve for x
    x = 78,480.70/300.05
  6. Step 6: Final answer
    x = 261.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.