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Finding the Fourth Proportional to 225.50, 311.23 and 138.23

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Solution

The fourth proportional to 225.50, 311.23 and 138.23 is: 190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.50 : 311.23 = 138.23 : x
  2. Step 2: Convert to fraction form
    225.50/311.23 = 138.23/x
  3. Step 3: Cross multiply
    225.50x = 311.23 × 138.23
  4. Step 4: Simplify right side
    225.50x = 43,019.08
  5. Step 5: Solve for x
    x = 43,019.08/225.50
  6. Step 6: Final answer
    x = 190.77

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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.