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Finding the Fourth Proportional to 359.30, 495.87 and 204.06

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Solution

The fourth proportional to 359.30, 495.87 and 204.06 is: 281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.30 : 495.87 = 204.06 : x
  2. Step 2: Convert to fraction form
    359.30/495.87 = 204.06/x
  3. Step 3: Cross multiply
    359.30x = 495.87 × 204.06
  4. Step 4: Simplify right side
    359.30x = 101,187.23
  5. Step 5: Solve for x
    x = 101,187.23/359.30
  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.