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Finding the Fourth Proportional to 225.64, 311.37 and 138.31

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Solution

The fourth proportional to 225.64, 311.37 and 138.31 is: 190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.64 : 311.37 = 138.31 : x
  2. Step 2: Convert to fraction form
    225.64/311.37 = 138.31/x
  3. Step 3: Cross multiply
    225.64x = 311.37 × 138.31
  4. Step 4: Simplify right side
    225.64x = 43,065.58
  5. Step 5: Solve for x
    x = 43,065.58/225.64
  6. Step 6: Final answer
    x = 190.86

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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.