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Finding the Fourth Proportional to 225.82, 311.55 and 138.46

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Solution

The fourth proportional to 225.82, 311.55 and 138.46 is: 191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.82 : 311.55 = 138.46 : x
  2. Step 2: Convert to fraction form
    225.82/311.55 = 138.46/x
  3. Step 3: Cross multiply
    225.82x = 311.55 × 138.46
  4. Step 4: Simplify right side
    225.82x = 43,137.21
  5. Step 5: Solve for x
    x = 43,137.21/225.82
  6. Step 6: Final answer
    x = 191.02

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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.