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Finding the Fourth Proportional to 225.77, 311.61 and 138.53

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Solution

The fourth proportional to 225.77, 311.61 and 138.53 is: 191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.77 : 311.61 = 138.53 : x
  2. Step 2: Convert to fraction form
    225.77/311.61 = 138.53/x
  3. Step 3: Cross multiply
    225.77x = 311.61 × 138.53
  4. Step 4: Simplify right side
    225.77x = 43,167.33
  5. Step 5: Solve for x
    x = 43,167.33/225.77
  6. Step 6: Final answer
    x = 191.20

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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.