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Finding the Fourth Proportional to 359.98, 496.80 and 202.64

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Solution

The fourth proportional to 359.98, 496.80 and 202.64 is: 279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.98 : 496.80 = 202.64 : x
  2. Step 2: Convert to fraction form
    359.98/496.80 = 202.64/x
  3. Step 3: Cross multiply
    359.98x = 496.80 × 202.64
  4. Step 4: Simplify right side
    359.98x = 100,671.55
  5. Step 5: Solve for x
    x = 100,671.55/359.98
  6. Step 6: Final answer
    x = 279.66

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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.