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Finding the Fourth Proportional to 613.52, 920.15 and 180.56

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Solution

The fourth proportional to 613.52, 920.15 and 180.56 is: 270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.52 : 920.15 = 180.56 : x
  2. Step 2: Convert to fraction form
    613.52/920.15 = 180.56/x
  3. Step 3: Cross multiply
    613.52x = 920.15 × 180.56
  4. Step 4: Simplify right side
    613.52x = 166,138.13
  5. Step 5: Solve for x
    x = 166,138.13/613.52
  6. Step 6: Final answer
    x = 270.80

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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.