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Finding the Fourth Proportional to 299.26, 412.78 and 201.02

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Solution

The fourth proportional to 299.26, 412.78 and 201.02 is: 277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.26 : 412.78 = 201.02 : x
  2. Step 2: Convert to fraction form
    299.26/412.78 = 201.02/x
  3. Step 3: Cross multiply
    299.26x = 412.78 × 201.02
  4. Step 4: Simplify right side
    299.26x = 82,977.04
  5. Step 5: Solve for x
    x = 82,977.04/299.26
  6. Step 6: Final answer
    x = 277.27

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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.