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Finding the Fourth Proportional to 359.94, 496.73 and 202.57

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Solution

The fourth proportional to 359.94, 496.73 and 202.57 is: 279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.94 : 496.73 = 202.57 : x
  2. Step 2: Convert to fraction form
    359.94/496.73 = 202.57/x
  3. Step 3: Cross multiply
    359.94x = 496.73 × 202.57
  4. Step 4: Simplify right side
    359.94x = 100,620.34
  5. Step 5: Solve for x
    x = 100,620.34/359.94
  6. Step 6: Final answer
    x = 279.55

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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.