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Finding the Fourth Proportional to 223.50, 307.78 and 222.82

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Solution

The fourth proportional to 223.50, 307.78 and 222.82 is: 306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.50 : 307.78 = 222.82 : x
  2. Step 2: Convert to fraction form
    223.50/307.78 = 222.82/x
  3. Step 3: Cross multiply
    223.50x = 307.78 × 222.82
  4. Step 4: Simplify right side
    223.50x = 68,579.54
  5. Step 5: Solve for x
    x = 68,579.54/223.50
  6. Step 6: Final answer
    x = 306.84

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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.