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Finding the Fourth Proportional to 225.89, 311.74 and 138.50

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Solution

The fourth proportional to 225.89, 311.74 and 138.50 is: 191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.89 : 311.74 = 138.50 : x
  2. Step 2: Convert to fraction form
    225.89/311.74 = 138.50/x
  3. Step 3: Cross multiply
    225.89x = 311.74 × 138.50
  4. Step 4: Simplify right side
    225.89x = 43,175.99
  5. Step 5: Solve for x
    x = 43,175.99/225.89
  6. Step 6: Final answer
    x = 191.14

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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.