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Finding the Fourth Proportional to 359.39, 495.98 and 202.04

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Solution

The fourth proportional to 359.39, 495.98 and 202.04 is: 278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.39 : 495.98 = 202.04 : x
  2. Step 2: Convert to fraction form
    359.39/495.98 = 202.04/x
  3. Step 3: Cross multiply
    359.39x = 495.98 × 202.04
  4. Step 4: Simplify right side
    359.39x = 100,207.80
  5. Step 5: Solve for x
    x = 100,207.80/359.39
  6. Step 6: Final answer
    x = 278.83

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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.