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Finding the Fourth Proportional to 222.50, 334.11 and 213.14

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Solution

The fourth proportional to 222.50, 334.11 and 213.14 is: 320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.50 : 334.11 = 213.14 : x
  2. Step 2: Convert to fraction form
    222.50/334.11 = 213.14/x
  3. Step 3: Cross multiply
    222.50x = 334.11 × 213.14
  4. Step 4: Simplify right side
    222.50x = 71,211.39
  5. Step 5: Solve for x
    x = 71,211.39/222.50
  6. Step 6: Final answer
    x = 320.05

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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.