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Finding the Fourth Proportional to 225.66, 313.49 and 223.44

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Solution

The fourth proportional to 225.66, 313.49 and 223.44 is: 310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.66 : 313.49 = 223.44 : x
  2. Step 2: Convert to fraction form
    225.66/313.49 = 223.44/x
  3. Step 3: Cross multiply
    225.66x = 313.49 × 223.44
  4. Step 4: Simplify right side
    225.66x = 70,046.21
  5. Step 5: Solve for x
    x = 70,046.21/225.66
  6. Step 6: Final answer
    x = 310.41

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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.