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Finding the Fourth Proportional to 226.70, 314.31 and 222.24

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Solution

The fourth proportional to 226.70, 314.31 and 222.24 is: 308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.70 : 314.31 = 222.24 : x
  2. Step 2: Convert to fraction form
    226.70/314.31 = 222.24/x
  3. Step 3: Cross multiply
    226.70x = 314.31 × 222.24
  4. Step 4: Simplify right side
    226.70x = 69,852.39
  5. Step 5: Solve for x
    x = 69,852.39/226.70
  6. Step 6: Final answer
    x = 308.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.