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Finding the Fourth Proportional to 506.75, 760.19 and 182.09

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Solution

The fourth proportional to 506.75, 760.19 and 182.09 is: 273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.75 : 760.19 = 182.09 : x
  2. Step 2: Convert to fraction form
    506.75/760.19 = 182.09/x
  3. Step 3: Cross multiply
    506.75x = 760.19 × 182.09
  4. Step 4: Simplify right side
    506.75x = 138,418.29
  5. Step 5: Solve for x
    x = 138,418.29/506.75
  6. Step 6: Final answer
    x = 273.15

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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.