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Finding the Fourth Proportional to 397.56, 596.12 and 181.14

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Solution

The fourth proportional to 397.56, 596.12 and 181.14 is: 271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.56 : 596.12 = 181.14 : x
  2. Step 2: Convert to fraction form
    397.56/596.12 = 181.14/x
  3. Step 3: Cross multiply
    397.56x = 596.12 × 181.14
  4. Step 4: Simplify right side
    397.56x = 107,981.39
  5. Step 5: Solve for x
    x = 107,981.39/397.56
  6. Step 6: Final answer
    x = 271.61

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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.