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Finding the Fourth Proportional to 299.52, 412.97 and 201.24

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Solution

The fourth proportional to 299.52, 412.97 and 201.24 is: 277.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.52 : 412.97 = 201.24 : x
  2. Step 2: Convert to fraction form
    299.52/412.97 = 201.24/x
  3. Step 3: Cross multiply
    299.52x = 412.97 × 201.24
  4. Step 4: Simplify right side
    299.52x = 83,105.08
  5. Step 5: Solve for x
    x = 83,105.08/299.52
  6. Step 6: Final answer
    x = 277.46

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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.