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Finding the Fourth Proportional to 359.50, 496.14 and 204.28

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Solution

The fourth proportional to 359.50, 496.14 and 204.28 is: 281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.50 : 496.14 = 204.28 : x
  2. Step 2: Convert to fraction form
    359.50/496.14 = 204.28/x
  3. Step 3: Cross multiply
    359.50x = 496.14 × 204.28
  4. Step 4: Simplify right side
    359.50x = 101,351.48
  5. Step 5: Solve for x
    x = 101,351.48/359.50
  6. Step 6: Final answer
    x = 281.92

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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.