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Finding the Fourth Proportional to 225.53, 311.22 and 138.23

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Solution

The fourth proportional to 225.53, 311.22 and 138.23 is: 190.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.53 : 311.22 = 138.23 : x
  2. Step 2: Convert to fraction form
    225.53/311.22 = 138.23/x
  3. Step 3: Cross multiply
    225.53x = 311.22 × 138.23
  4. Step 4: Simplify right side
    225.53x = 43,019.94
  5. Step 5: Solve for x
    x = 43,019.94/225.53
  6. Step 6: Final answer
    x = 190.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.