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Finding the Fourth Proportional to 226.39, 312.39 and 139.03

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Solution

The fourth proportional to 226.39, 312.39 and 139.03 is: 191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.39 : 312.39 = 139.03 : x
  2. Step 2: Convert to fraction form
    226.39/312.39 = 139.03/x
  3. Step 3: Cross multiply
    226.39x = 312.39 × 139.03
  4. Step 4: Simplify right side
    226.39x = 43,431.58
  5. Step 5: Solve for x
    x = 43,431.58/226.39
  6. Step 6: Final answer
    x = 191.84

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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.