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Finding the Fourth Proportional to 225.31, 311.09 and 138.10

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Solution

The fourth proportional to 225.31, 311.09 and 138.10 is: 190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.31 : 311.09 = 138.10 : x
  2. Step 2: Convert to fraction form
    225.31/311.09 = 138.10/x
  3. Step 3: Cross multiply
    225.31x = 311.09 × 138.10
  4. Step 4: Simplify right side
    225.31x = 42,961.53
  5. Step 5: Solve for x
    x = 42,961.53/225.31
  6. Step 6: Final answer
    x = 190.68

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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.