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Finding the Fourth Proportional to 395.82, 593.70 and 139.14

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Solution

The fourth proportional to 395.82, 593.70 and 139.14 is: 208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.82 : 593.70 = 139.14 : x
  2. Step 2: Convert to fraction form
    395.82/593.70 = 139.14/x
  3. Step 3: Cross multiply
    395.82x = 593.70 × 139.14
  4. Step 4: Simplify right side
    395.82x = 82,607.42
  5. Step 5: Solve for x
    x = 82,607.42/395.82
  6. Step 6: Final answer
    x = 208.70

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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.