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Finding the Fourth Proportional to 396.19, 594.10 and 122.23

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Solution

The fourth proportional to 396.19, 594.10 and 122.23 is: 183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.19 : 594.10 = 122.23 : x
  2. Step 2: Convert to fraction form
    396.19/594.10 = 122.23/x
  3. Step 3: Cross multiply
    396.19x = 594.10 × 122.23
  4. Step 4: Simplify right side
    396.19x = 72,616.84
  5. Step 5: Solve for x
    x = 72,616.84/396.19
  6. Step 6: Final answer
    x = 183.29

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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.