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Finding the Fourth Proportional to 359.44, 538.92 and 139.96

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Solution

The fourth proportional to 359.44, 538.92 and 139.96 is: 209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.44 : 538.92 = 139.96 : x
  2. Step 2: Convert to fraction form
    359.44/538.92 = 139.96/x
  3. Step 3: Cross multiply
    359.44x = 538.92 × 139.96
  4. Step 4: Simplify right side
    359.44x = 75,427.24
  5. Step 5: Solve for x
    x = 75,427.24/359.44
  6. Step 6: Final answer
    x = 209.85

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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.