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Finding the Fourth Proportional to 396.02, 593.73 and 164.77

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Solution

The fourth proportional to 396.02, 593.73 and 164.77 is: 247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.02 : 593.73 = 164.77 : x
  2. Step 2: Convert to fraction form
    396.02/593.73 = 164.77/x
  3. Step 3: Cross multiply
    396.02x = 593.73 × 164.77
  4. Step 4: Simplify right side
    396.02x = 97,827.41
  5. Step 5: Solve for x
    x = 97,827.41/396.02
  6. Step 6: Final answer
    x = 247.02

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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.