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Finding the Fourth Proportional to 395.84, 593.82 and 135.86

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Solution

The fourth proportional to 395.84, 593.82 and 135.86 is: 203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.84 : 593.82 = 135.86 : x
  2. Step 2: Convert to fraction form
    395.84/593.82 = 135.86/x
  3. Step 3: Cross multiply
    395.84x = 593.82 × 135.86
  4. Step 4: Simplify right side
    395.84x = 80,676.39
  5. Step 5: Solve for x
    x = 80,676.39/395.84
  6. Step 6: Final answer
    x = 203.81

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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.