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Finding the Fourth Proportional to 225.74, 309.22 and 223.31

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Solution

The fourth proportional to 225.74, 309.22 and 223.31 is: 305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.74 : 309.22 = 223.31 : x
  2. Step 2: Convert to fraction form
    225.74/309.22 = 223.31/x
  3. Step 3: Cross multiply
    225.74x = 309.22 × 223.31
  4. Step 4: Simplify right side
    225.74x = 69,052.13
  5. Step 5: Solve for x
    x = 69,052.13/225.74
  6. Step 6: Final answer
    x = 305.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.