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Finding the Fourth Proportional to 359.85, 496.61 and 202.48

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Solution

The fourth proportional to 359.85, 496.61 and 202.48 is: 279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.85 : 496.61 = 202.48 : x
  2. Step 2: Convert to fraction form
    359.85/496.61 = 202.48/x
  3. Step 3: Cross multiply
    359.85x = 496.61 × 202.48
  4. Step 4: Simplify right side
    359.85x = 100,553.59
  5. Step 5: Solve for x
    x = 100,553.59/359.85
  6. Step 6: Final answer
    x = 279.43

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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.