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Finding the Fourth Proportional to 226.14, 312.07 and 137.60

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Solution

The fourth proportional to 226.14, 312.07 and 137.60 is: 189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.14 : 312.07 = 137.60 : x
  2. Step 2: Convert to fraction form
    226.14/312.07 = 137.60/x
  3. Step 3: Cross multiply
    226.14x = 312.07 × 137.60
  4. Step 4: Simplify right side
    226.14x = 42,940.83
  5. Step 5: Solve for x
    x = 42,940.83/226.14
  6. Step 6: Final answer
    x = 189.89

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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.