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Finding the Fourth Proportional to 359.54, 496.17 and 202.17

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Solution

The fourth proportional to 359.54, 496.17 and 202.17 is: 279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.54 : 496.17 = 202.17 : x
  2. Step 2: Convert to fraction form
    359.54/496.17 = 202.17/x
  3. Step 3: Cross multiply
    359.54x = 496.17 × 202.17
  4. Step 4: Simplify right side
    359.54x = 100,310.69
  5. Step 5: Solve for x
    x = 100,310.69/359.54
  6. Step 6: Final answer
    x = 279.00

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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.