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Finding the Fourth Proportional to 222.56, 334.16 and 199.84

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Solution

The fourth proportional to 222.56, 334.16 and 199.84 is: 300.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.56 : 334.16 = 199.84 : x
  2. Step 2: Convert to fraction form
    222.56/334.16 = 199.84/x
  3. Step 3: Cross multiply
    222.56x = 334.16 × 199.84
  4. Step 4: Simplify right side
    222.56x = 66,778.53
  5. Step 5: Solve for x
    x = 66,778.53/222.56
  6. Step 6: Final answer
    x = 300.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.