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Finding the Fourth Proportional to 395.68, 593.68 and 139.20

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Solution

The fourth proportional to 395.68, 593.68 and 139.20 is: 208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.68 : 593.68 = 139.20 : x
  2. Step 2: Convert to fraction form
    395.68/593.68 = 139.20/x
  3. Step 3: Cross multiply
    395.68x = 593.68 × 139.20
  4. Step 4: Simplify right side
    395.68x = 82,640.26
  5. Step 5: Solve for x
    x = 82,640.26/395.68
  6. Step 6: Final answer
    x = 208.86

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