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Finding the Fourth Proportional to 225.40, 311.22 and 138.24

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Solution

The fourth proportional to 225.40, 311.22 and 138.24 is: 190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.40 : 311.22 = 138.24 : x
  2. Step 2: Convert to fraction form
    225.40/311.22 = 138.24/x
  3. Step 3: Cross multiply
    225.40x = 311.22 × 138.24
  4. Step 4: Simplify right side
    225.40x = 43,023.05
  5. Step 5: Solve for x
    x = 43,023.05/225.40
  6. Step 6: Final answer
    x = 190.87

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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.