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Finding the Fourth Proportional to 395.97, 593.95 and 135.85

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Solution

The fourth proportional to 395.97, 593.95 and 135.85 is: 203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.97 : 593.95 = 135.85 : x
  2. Step 2: Convert to fraction form
    395.97/593.95 = 135.85/x
  3. Step 3: Cross multiply
    395.97x = 593.95 × 135.85
  4. Step 4: Simplify right side
    395.97x = 80,688.11
  5. Step 5: Solve for x
    x = 80,688.11/395.97
  6. Step 6: Final answer
    x = 203.77

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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.