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Finding the Fourth Proportional to 359.42, 495.96 and 204.14

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Solution

The fourth proportional to 359.42, 495.96 and 204.14 is: 281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.42 : 495.96 = 204.14 : x
  2. Step 2: Convert to fraction form
    359.42/495.96 = 204.14/x
  3. Step 3: Cross multiply
    359.42x = 495.96 × 204.14
  4. Step 4: Simplify right side
    359.42x = 101,245.27
  5. Step 5: Solve for x
    x = 101,245.27/359.42
  6. Step 6: Final answer
    x = 281.69

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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.