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Finding the Fourth Proportional to 225.91, 311.73 and 138.58

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Solution

The fourth proportional to 225.91, 311.73 and 138.58 is: 191.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.91 : 311.73 = 138.58 : x
  2. Step 2: Convert to fraction form
    225.91/311.73 = 138.58/x
  3. Step 3: Cross multiply
    225.91x = 311.73 × 138.58
  4. Step 4: Simplify right side
    225.91x = 43,199.02
  5. Step 5: Solve for x
    x = 43,199.02/225.91
  6. Step 6: Final answer
    x = 191.23

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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.