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Finding the Fourth Proportional to 359.76, 496.48 and 204.50

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Solution

The fourth proportional to 359.76, 496.48 and 204.50 is: 282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.76 : 496.48 = 204.50 : x
  2. Step 2: Convert to fraction form
    359.76/496.48 = 204.50/x
  3. Step 3: Cross multiply
    359.76x = 496.48 × 204.50
  4. Step 4: Simplify right side
    359.76x = 101,530.16
  5. Step 5: Solve for x
    x = 101,530.16/359.76
  6. Step 6: Final answer
    x = 282.22

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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.