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Finding the Fourth Proportional to 397.30, 596.04 and 166.09

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Solution

The fourth proportional to 397.30, 596.04 and 166.09 is: 249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.30 : 596.04 = 166.09 : x
  2. Step 2: Convert to fraction form
    397.30/596.04 = 166.09/x
  3. Step 3: Cross multiply
    397.30x = 596.04 × 166.09
  4. Step 4: Simplify right side
    397.30x = 98,996.28
  5. Step 5: Solve for x
    x = 98,996.28/397.30
  6. Step 6: Final answer
    x = 249.17

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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.