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Finding the Fourth Proportional to 396.83, 595.16 and 108.20

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Solution

The fourth proportional to 396.83, 595.16 and 108.20 is: 162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.83 : 595.16 = 108.20 : x
  2. Step 2: Convert to fraction form
    396.83/595.16 = 108.20/x
  3. Step 3: Cross multiply
    396.83x = 595.16 × 108.20
  4. Step 4: Simplify right side
    396.83x = 64,392.80
  5. Step 5: Solve for x
    x = 64,392.80/396.83
  6. Step 6: Final answer
    x = 162.27

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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.