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Finding the Fourth Proportional to 226.26, 339.78 and 123.75

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Solution

The fourth proportional to 226.26, 339.78 and 123.75 is: 185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.26 : 339.78 = 123.75 : x
  2. Step 2: Convert to fraction form
    226.26/339.78 = 123.75/x
  3. Step 3: Cross multiply
    226.26x = 339.78 × 123.75
  4. Step 4: Simplify right side
    226.26x = 42,047.78
  5. Step 5: Solve for x
    x = 42,047.78/226.26
  6. Step 6: Final answer
    x = 185.84

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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.