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Finding the Fourth Proportional to 300.14, 414.39 and 193.85

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Solution

The fourth proportional to 300.14, 414.39 and 193.85 is: 267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.14 : 414.39 = 193.85 : x
  2. Step 2: Convert to fraction form
    300.14/414.39 = 193.85/x
  3. Step 3: Cross multiply
    300.14x = 414.39 × 193.85
  4. Step 4: Simplify right side
    300.14x = 80,328.53
  5. Step 5: Solve for x
    x = 80,328.53/300.14
  6. Step 6: Final answer
    x = 267.64

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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.