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Finding the Fourth Proportional to 359.21, 538.82 and 139.79

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Solution

The fourth proportional to 359.21, 538.82 and 139.79 is: 209.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.21 : 538.82 = 139.79 : x
  2. Step 2: Convert to fraction form
    359.21/538.82 = 139.79/x
  3. Step 3: Cross multiply
    359.21x = 538.82 × 139.79
  4. Step 4: Simplify right side
    359.21x = 75,318.25
  5. Step 5: Solve for x
    x = 75,318.25/359.21
  6. Step 6: Final answer
    x = 209.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.