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Finding the Fourth Proportional to 359.86, 496.61 and 204.61

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Solution

The fourth proportional to 359.86, 496.61 and 204.61 is: 282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.86 : 496.61 = 204.61 : x
  2. Step 2: Convert to fraction form
    359.86/496.61 = 204.61/x
  3. Step 3: Cross multiply
    359.86x = 496.61 × 204.61
  4. Step 4: Simplify right side
    359.86x = 101,610.23
  5. Step 5: Solve for x
    x = 101,610.23/359.86
  6. Step 6: Final answer
    x = 282.36

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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.