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Finding the Fourth Proportional to 613.73, 920.78 and 180.89

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Solution

The fourth proportional to 613.73, 920.78 and 180.89 is: 271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.73 : 920.78 = 180.89 : x
  2. Step 2: Convert to fraction form
    613.73/920.78 = 180.89/x
  3. Step 3: Cross multiply
    613.73x = 920.78 × 180.89
  4. Step 4: Simplify right side
    613.73x = 166,562.65
  5. Step 5: Solve for x
    x = 166,562.65/613.73
  6. Step 6: Final answer
    x = 271.39

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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.