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Finding the Fourth Proportional to 397.97, 597.16 and 181.52

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Solution

The fourth proportional to 397.97, 597.16 and 181.52 is: 272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.97 : 597.16 = 181.52 : x
  2. Step 2: Convert to fraction form
    397.97/597.16 = 181.52/x
  3. Step 3: Cross multiply
    397.97x = 597.16 × 181.52
  4. Step 4: Simplify right side
    397.97x = 108,396.48
  5. Step 5: Solve for x
    x = 108,396.48/397.97
  6. Step 6: Final answer
    x = 272.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.