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Finding the Fourth Proportional to 226.23, 339.39 and 123.53

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Solution

The fourth proportional to 226.23, 339.39 and 123.53 is: 185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.23 : 339.39 = 123.53 : x
  2. Step 2: Convert to fraction form
    226.23/339.39 = 123.53/x
  3. Step 3: Cross multiply
    226.23x = 339.39 × 123.53
  4. Step 4: Simplify right side
    226.23x = 41,923.15
  5. Step 5: Solve for x
    x = 41,923.15/226.23
  6. Step 6: Final answer
    x = 185.32

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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.