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Finding the Fourth Proportional to 397.53, 596.34 and 166.38

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Solution

The fourth proportional to 397.53, 596.34 and 166.38 is: 249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.53 : 596.34 = 166.38 : x
  2. Step 2: Convert to fraction form
    397.53/596.34 = 166.38/x
  3. Step 3: Cross multiply
    397.53x = 596.34 × 166.38
  4. Step 4: Simplify right side
    397.53x = 99,218.02
  5. Step 5: Solve for x
    x = 99,218.02/397.53
  6. Step 6: Final answer
    x = 249.58

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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.