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Finding the Fourth Proportional to 300.24, 414.11 and 201.84

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Solution

The fourth proportional to 300.24, 414.11 and 201.84 is: 278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.24 : 414.11 = 201.84 : x
  2. Step 2: Convert to fraction form
    300.24/414.11 = 201.84/x
  3. Step 3: Cross multiply
    300.24x = 414.11 × 201.84
  4. Step 4: Simplify right side
    300.24x = 83,583.96
  5. Step 5: Solve for x
    x = 83,583.96/300.24
  6. Step 6: Final answer
    x = 278.39

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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.