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Finding the Fourth Proportional to 396.21, 594.10 and 161.74

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Solution

The fourth proportional to 396.21, 594.10 and 161.74 is: 242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.21 : 594.10 = 161.74 : x
  2. Step 2: Convert to fraction form
    396.21/594.10 = 161.74/x
  3. Step 3: Cross multiply
    396.21x = 594.10 × 161.74
  4. Step 4: Simplify right side
    396.21x = 96,089.73
  5. Step 5: Solve for x
    x = 96,089.73/396.21
  6. Step 6: Final answer
    x = 242.52

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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.