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Finding the Fourth Proportional to 395.70, 593.56 and 107.14

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Solution

The fourth proportional to 395.70, 593.56 and 107.14 is: 160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.70 : 593.56 = 107.14 : x
  2. Step 2: Convert to fraction form
    395.70/593.56 = 107.14/x
  3. Step 3: Cross multiply
    395.70x = 593.56 × 107.14
  4. Step 4: Simplify right side
    395.70x = 63,594.02
  5. Step 5: Solve for x
    x = 63,594.02/395.70
  6. Step 6: Final answer
    x = 160.71

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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.