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Finding the Fourth Proportional to 619.26, 929.09 and 180.54

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Solution

The fourth proportional to 619.26, 929.09 and 180.54 is: 270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.26 : 929.09 = 180.54 : x
  2. Step 2: Convert to fraction form
    619.26/929.09 = 180.54/x
  3. Step 3: Cross multiply
    619.26x = 929.09 × 180.54
  4. Step 4: Simplify right side
    619.26x = 167,733.52
  5. Step 5: Solve for x
    x = 167,733.52/619.26
  6. Step 6: Final answer
    x = 270.86

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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.