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Finding the Fourth Proportional to 222.24, 332.98 and 199.70

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Solution

The fourth proportional to 222.24, 332.98 and 199.70 is: 299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.24 : 332.98 = 199.70 : x
  2. Step 2: Convert to fraction form
    222.24/332.98 = 199.70/x
  3. Step 3: Cross multiply
    222.24x = 332.98 × 199.70
  4. Step 4: Simplify right side
    222.24x = 66,493.94
  5. Step 5: Solve for x
    x = 66,493.94/222.24
  6. Step 6: Final answer
    x = 299.20

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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.