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Finding the Fourth Proportional to 225.98, 309.75 and 222.78

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Solution

The fourth proportional to 225.98, 309.75 and 222.78 is: 305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.98 : 309.75 = 222.78 : x
  2. Step 2: Convert to fraction form
    225.98/309.75 = 222.78/x
  3. Step 3: Cross multiply
    225.98x = 309.75 × 222.78
  4. Step 4: Simplify right side
    225.98x = 69,006.11
  5. Step 5: Solve for x
    x = 69,006.11/225.98
  6. Step 6: Final answer
    x = 305.37

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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.