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Finding the Fourth Proportional to 506.22, 759.41 and 181.56

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Solution

The fourth proportional to 506.22, 759.41 and 181.56 is: 272.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.22 : 759.41 = 181.56 : x
  2. Step 2: Convert to fraction form
    506.22/759.41 = 181.56/x
  3. Step 3: Cross multiply
    506.22x = 759.41 × 181.56
  4. Step 4: Simplify right side
    506.22x = 137,878.48
  5. Step 5: Solve for x
    x = 137,878.48/506.22
  6. Step 6: Final answer
    x = 272.37

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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.