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Finding the Fourth Proportional to 359.47, 496.11 and 204.22

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Solution

The fourth proportional to 359.47, 496.11 and 204.22 is: 281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.47 : 496.11 = 204.22 : x
  2. Step 2: Convert to fraction form
    359.47/496.11 = 204.22/x
  3. Step 3: Cross multiply
    359.47x = 496.11 × 204.22
  4. Step 4: Simplify right side
    359.47x = 101,315.58
  5. Step 5: Solve for x
    x = 101,315.58/359.47
  6. Step 6: Final answer
    x = 281.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.