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Finding the Fourth Proportional to 506.67, 760.08 and 182.12

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Solution

The fourth proportional to 506.67, 760.08 and 182.12 is: 273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.67 : 760.08 = 182.12 : x
  2. Step 2: Convert to fraction form
    506.67/760.08 = 182.12/x
  3. Step 3: Cross multiply
    506.67x = 760.08 × 182.12
  4. Step 4: Simplify right side
    506.67x = 138,422.65
  5. Step 5: Solve for x
    x = 138,422.65/506.67
  6. Step 6: Final answer
    x = 273.20

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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.