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Finding the Fourth Proportional to 613.29, 919.83 and 180.34

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Solution

The fourth proportional to 613.29, 919.83 and 180.34 is: 270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.29 : 919.83 = 180.34 : x
  2. Step 2: Convert to fraction form
    613.29/919.83 = 180.34/x
  3. Step 3: Cross multiply
    613.29x = 919.83 × 180.34
  4. Step 4: Simplify right side
    613.29x = 165,882.14
  5. Step 5: Solve for x
    x = 165,882.14/613.29
  6. Step 6: Final answer
    x = 270.48

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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.