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Finding the Fourth Proportional to 395.82, 593.81 and 164.59

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Solution

The fourth proportional to 395.82, 593.81 and 164.59 is: 246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.82 : 593.81 = 164.59 : x
  2. Step 2: Convert to fraction form
    395.82/593.81 = 164.59/x
  3. Step 3: Cross multiply
    395.82x = 593.81 × 164.59
  4. Step 4: Simplify right side
    395.82x = 97,733.70
  5. Step 5: Solve for x
    x = 97,733.70/395.82
  6. Step 6: Final answer
    x = 246.91

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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.