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Finding the Fourth Proportional to 613.70, 920.23 and 180.80

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Solution

The fourth proportional to 613.70, 920.23 and 180.80 is: 271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.70 : 920.23 = 180.80 : x
  2. Step 2: Convert to fraction form
    613.70/920.23 = 180.80/x
  3. Step 3: Cross multiply
    613.70x = 920.23 × 180.80
  4. Step 4: Simplify right side
    613.70x = 166,377.58
  5. Step 5: Solve for x
    x = 166,377.58/613.70
  6. Step 6: Final answer
    x = 271.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.