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Finding the Fourth Proportional to 396.08, 593.84 and 164.80

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Solution

The fourth proportional to 396.08, 593.84 and 164.80 is: 247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.08 : 593.84 = 164.80 : x
  2. Step 2: Convert to fraction form
    396.08/593.84 = 164.80/x
  3. Step 3: Cross multiply
    396.08x = 593.84 × 164.80
  4. Step 4: Simplify right side
    396.08x = 97,864.83
  5. Step 5: Solve for x
    x = 97,864.83/396.08
  6. Step 6: Final answer
    x = 247.08

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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.