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Finding the Fourth Proportional to 359.72, 496.44 and 202.33

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Solution

The fourth proportional to 359.72, 496.44 and 202.33 is: 279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.72 : 496.44 = 202.33 : x
  2. Step 2: Convert to fraction form
    359.72/496.44 = 202.33/x
  3. Step 3: Cross multiply
    359.72x = 496.44 × 202.33
  4. Step 4: Simplify right side
    359.72x = 100,444.71
  5. Step 5: Solve for x
    x = 100,444.71/359.72
  6. Step 6: Final answer
    x = 279.23

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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.