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Finding the Fourth Proportional to 222.16, 333.76 and 199.12

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Solution

The fourth proportional to 222.16, 333.76 and 199.12 is: 299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.16 : 333.76 = 199.12 : x
  2. Step 2: Convert to fraction form
    222.16/333.76 = 199.12/x
  3. Step 3: Cross multiply
    222.16x = 333.76 × 199.12
  4. Step 4: Simplify right side
    222.16x = 66,458.29
  5. Step 5: Solve for x
    x = 66,458.29/222.16
  6. Step 6: Final answer
    x = 299.15

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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.