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Finding the Fourth Proportional to 225.74, 311.36 and 138.26

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Solution

The fourth proportional to 225.74, 311.36 and 138.26 is: 190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.74 : 311.36 = 138.26 : x
  2. Step 2: Convert to fraction form
    225.74/311.36 = 138.26/x
  3. Step 3: Cross multiply
    225.74x = 311.36 × 138.26
  4. Step 4: Simplify right side
    225.74x = 43,048.63
  5. Step 5: Solve for x
    x = 43,048.63/225.74
  6. Step 6: Final answer
    x = 190.70

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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.