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Finding the Fourth Proportional to 396.14, 593.74 and 164.75

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Solution

The fourth proportional to 396.14, 593.74 and 164.75 is: 246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.14 : 593.74 = 164.75 : x
  2. Step 2: Convert to fraction form
    396.14/593.74 = 164.75/x
  3. Step 3: Cross multiply
    396.14x = 593.74 × 164.75
  4. Step 4: Simplify right side
    396.14x = 97,815.28
  5. Step 5: Solve for x
    x = 97,815.28/396.14
  6. Step 6: Final answer
    x = 246.92

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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.