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Finding the Fourth Proportional to 552.01, 828.01 and 181.81

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Solution

The fourth proportional to 552.01, 828.01 and 181.81 is: 272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.01 : 828.01 = 181.81 : x
  2. Step 2: Convert to fraction form
    552.01/828.01 = 181.81/x
  3. Step 3: Cross multiply
    552.01x = 828.01 × 181.81
  4. Step 4: Simplify right side
    552.01x = 150,537.97
  5. Step 5: Solve for x
    x = 150,537.97/552.01
  6. Step 6: Final answer
    x = 272.71

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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.