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Finding the Fourth Proportional to 359.64, 496.26 and 204.42

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Solution

The fourth proportional to 359.64, 496.26 and 204.42 is: 282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.64 : 496.26 = 204.42 : x
  2. Step 2: Convert to fraction form
    359.64/496.26 = 204.42/x
  3. Step 3: Cross multiply
    359.64x = 496.26 × 204.42
  4. Step 4: Simplify right side
    359.64x = 101,445.47
  5. Step 5: Solve for x
    x = 101,445.47/359.64
  6. Step 6: Final answer
    x = 282.08

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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.