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Finding the Fourth Proportional to 395.92, 593.56 and 164.68

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Solution

The fourth proportional to 395.92, 593.56 and 164.68 is: 246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.92 : 593.56 = 164.68 : x
  2. Step 2: Convert to fraction form
    395.92/593.56 = 164.68/x
  3. Step 3: Cross multiply
    395.92x = 593.56 × 164.68
  4. Step 4: Simplify right side
    395.92x = 97,747.46
  5. Step 5: Solve for x
    x = 97,747.46/395.92
  6. Step 6: Final answer
    x = 246.89

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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.