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Finding the Fourth Proportional to 359.66, 496.14 and 204.38

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Solution

The fourth proportional to 359.66, 496.14 and 204.38 is: 281.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.66 : 496.14 = 204.38 : x
  2. Step 2: Convert to fraction form
    359.66/496.14 = 204.38/x
  3. Step 3: Cross multiply
    359.66x = 496.14 × 204.38
  4. Step 4: Simplify right side
    359.66x = 101,401.09
  5. Step 5: Solve for x
    x = 101,401.09/359.66
  6. Step 6: Final answer
    x = 281.94

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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.