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Finding the Fourth Proportional to 506.82, 759.90 and 182.15

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Solution

The fourth proportional to 506.82, 759.90 and 182.15 is: 273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.82 : 759.90 = 182.15 : x
  2. Step 2: Convert to fraction form
    506.82/759.90 = 182.15/x
  3. Step 3: Cross multiply
    506.82x = 759.90 × 182.15
  4. Step 4: Simplify right side
    506.82x = 138,414.49
  5. Step 5: Solve for x
    x = 138,414.49/506.82
  6. Step 6: Final answer
    x = 273.10

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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.