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Finding the Fourth Proportional to 225.78, 311.58 and 138.39

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Solution

The fourth proportional to 225.78, 311.58 and 138.39 is: 190.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.78 : 311.58 = 138.39 : x
  2. Step 2: Convert to fraction form
    225.78/311.58 = 138.39/x
  3. Step 3: Cross multiply
    225.78x = 311.58 × 138.39
  4. Step 4: Simplify right side
    225.78x = 43,119.56
  5. Step 5: Solve for x
    x = 43,119.56/225.78
  6. Step 6: Final answer
    x = 190.98

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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.