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Finding the Fourth Proportional to 359.72, 496.42 and 202.35

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Solution

The fourth proportional to 359.72, 496.42 and 202.35 is: 279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.72 : 496.42 = 202.35 : x
  2. Step 2: Convert to fraction form
    359.72/496.42 = 202.35/x
  3. Step 3: Cross multiply
    359.72x = 496.42 × 202.35
  4. Step 4: Simplify right side
    359.72x = 100,449.58
  5. Step 5: Solve for x
    x = 100,449.58/359.72
  6. Step 6: Final answer
    x = 279.25

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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.