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Finding the Fourth Proportional to 222.50, 306.41 and 221.82

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Solution

The fourth proportional to 222.50, 306.41 and 221.82 is: 305.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.50 : 306.41 = 221.82 : x
  2. Step 2: Convert to fraction form
    222.50/306.41 = 221.82/x
  3. Step 3: Cross multiply
    222.50x = 306.41 × 221.82
  4. Step 4: Simplify right side
    222.50x = 67,966.76
  5. Step 5: Solve for x
    x = 67,966.76/222.50
  6. Step 6: Final answer
    x = 305.48

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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.