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Finding the Fourth Proportional to 300.41, 414.54 and 201.99

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Solution

The fourth proportional to 300.41, 414.54 and 201.99 is: 278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.41 : 414.54 = 201.99 : x
  2. Step 2: Convert to fraction form
    300.41/414.54 = 201.99/x
  3. Step 3: Cross multiply
    300.41x = 414.54 × 201.99
  4. Step 4: Simplify right side
    300.41x = 83,732.93
  5. Step 5: Solve for x
    x = 83,732.93/300.41
  6. Step 6: Final answer
    x = 278.73

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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.