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Finding the Fourth Proportional to 226.17, 312.08 and 137.67

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Solution

The fourth proportional to 226.17, 312.08 and 137.67 is: 189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.17 : 312.08 = 137.67 : x
  2. Step 2: Convert to fraction form
    226.17/312.08 = 137.67/x
  3. Step 3: Cross multiply
    226.17x = 312.08 × 137.67
  4. Step 4: Simplify right side
    226.17x = 42,961.80
  5. Step 5: Solve for x
    x = 42,961.80/226.17
  6. Step 6: Final answer
    x = 189.96

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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.