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Finding the Fourth Proportional to 359.31, 495.87 and 201.97

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Solution

The fourth proportional to 359.31, 495.87 and 201.97 is: 278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.31 : 495.87 = 201.97 : x
  2. Step 2: Convert to fraction form
    359.31/495.87 = 201.97/x
  3. Step 3: Cross multiply
    359.31x = 495.87 × 201.97
  4. Step 4: Simplify right side
    359.31x = 100,152.56
  5. Step 5: Solve for x
    x = 100,152.56/359.31
  6. Step 6: Final answer
    x = 278.74

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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.