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Finding the Fourth Proportional to 226.88, 313.20 and 226.16

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Solution

The fourth proportional to 226.88, 313.20 and 226.16 is: 312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.88 : 313.20 = 226.16 : x
  2. Step 2: Convert to fraction form
    226.88/313.20 = 226.16/x
  3. Step 3: Cross multiply
    226.88x = 313.20 × 226.16
  4. Step 4: Simplify right side
    226.88x = 70,833.31
  5. Step 5: Solve for x
    x = 70,833.31/226.88
  6. Step 6: Final answer
    x = 312.21

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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.