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Finding the Fourth Proportional to 359.34, 495.84 and 204.09

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Solution

The fourth proportional to 359.34, 495.84 and 204.09 is: 281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.34 : 495.84 = 204.09 : x
  2. Step 2: Convert to fraction form
    359.34/495.84 = 204.09/x
  3. Step 3: Cross multiply
    359.34x = 495.84 × 204.09
  4. Step 4: Simplify right side
    359.34x = 101,195.99
  5. Step 5: Solve for x
    x = 101,195.99/359.34
  6. Step 6: Final answer
    x = 281.62

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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.