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Finding the Fourth Proportional to 396.30, 594.60 and 165.33

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Solution

The fourth proportional to 396.30, 594.60 and 165.33 is: 248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.30 : 594.60 = 165.33 : x
  2. Step 2: Convert to fraction form
    396.30/594.60 = 165.33/x
  3. Step 3: Cross multiply
    396.30x = 594.60 × 165.33
  4. Step 4: Simplify right side
    396.30x = 98,305.22
  5. Step 5: Solve for x
    x = 98,305.22/396.30
  6. Step 6: Final answer
    x = 248.06

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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.