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Finding the Fourth Proportional to 359.90, 496.68 and 202.54

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Solution

The fourth proportional to 359.90, 496.68 and 202.54 is: 279.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.90 : 496.68 = 202.54 : x
  2. Step 2: Convert to fraction form
    359.90/496.68 = 202.54/x
  3. Step 3: Cross multiply
    359.90x = 496.68 × 202.54
  4. Step 4: Simplify right side
    359.90x = 100,597.57
  5. Step 5: Solve for x
    x = 100,597.57/359.90
  6. Step 6: Final answer
    x = 279.52

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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.