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Finding the Fourth Proportional to 299.61, 414.21 and 201.87

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Solution

The fourth proportional to 299.61, 414.21 and 201.87 is: 279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.61 : 414.21 = 201.87 : x
  2. Step 2: Convert to fraction form
    299.61/414.21 = 201.87/x
  3. Step 3: Cross multiply
    299.61x = 414.21 × 201.87
  4. Step 4: Simplify right side
    299.61x = 83,616.57
  5. Step 5: Solve for x
    x = 83,616.57/299.61
  6. Step 6: Final answer
    x = 279.08

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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.