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Finding the Fourth Proportional to 395.83, 593.61 and 135.82

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Solution

The fourth proportional to 395.83, 593.61 and 135.82 is: 203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.83 : 593.61 = 135.82 : x
  2. Step 2: Convert to fraction form
    395.83/593.61 = 135.82/x
  3. Step 3: Cross multiply
    395.83x = 593.61 × 135.82
  4. Step 4: Simplify right side
    395.83x = 80,624.11
  5. Step 5: Solve for x
    x = 80,624.11/395.83
  6. Step 6: Final answer
    x = 203.68

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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.