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Finding the Fourth Proportional to 226.46, 313.06 and 224.38

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Solution

The fourth proportional to 226.46, 313.06 and 224.38 is: 310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.46 : 313.06 = 224.38 : x
  2. Step 2: Convert to fraction form
    226.46/313.06 = 224.38/x
  3. Step 3: Cross multiply
    226.46x = 313.06 × 224.38
  4. Step 4: Simplify right side
    226.46x = 70,244.40
  5. Step 5: Solve for x
    x = 70,244.40/226.46
  6. Step 6: Final answer
    x = 310.18

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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.