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Finding the Fourth Proportional to 186.78, 280.12 and 122.24

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Solution

The fourth proportional to 186.78, 280.12 and 122.24 is: 183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.78 : 280.12 = 122.24 : x
  2. Step 2: Convert to fraction form
    186.78/280.12 = 122.24/x
  3. Step 3: Cross multiply
    186.78x = 280.12 × 122.24
  4. Step 4: Simplify right side
    186.78x = 34,241.87
  5. Step 5: Solve for x
    x = 34,241.87/186.78
  6. Step 6: Final answer
    x = 183.33

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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.