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Finding the Fourth Proportional to 359.66, 496.19 and 219.71

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Solution

The fourth proportional to 359.66, 496.19 and 219.71 is: 303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.66 : 496.19 = 219.71 : x
  2. Step 2: Convert to fraction form
    359.66/496.19 = 219.71/x
  3. Step 3: Cross multiply
    359.66x = 496.19 × 219.71
  4. Step 4: Simplify right side
    359.66x = 109,019.69
  5. Step 5: Solve for x
    x = 109,019.69/359.66
  6. Step 6: Final answer
    x = 303.12

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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.