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Finding the Fourth Proportional to 359.88, 496.68 and 204.66

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Solution

The fourth proportional to 359.88, 496.68 and 204.66 is: 282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.88 : 496.68 = 204.66 : x
  2. Step 2: Convert to fraction form
    359.88/496.68 = 204.66/x
  3. Step 3: Cross multiply
    359.88x = 496.68 × 204.66
  4. Step 4: Simplify right side
    359.88x = 101,650.53
  5. Step 5: Solve for x
    x = 101,650.53/359.88
  6. Step 6: Final answer
    x = 282.46

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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.