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Finding the Fourth Proportional to 222.82, 332.67 and 200.94

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Solution

The fourth proportional to 222.82, 332.67 and 200.94 is: 300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.82 : 332.67 = 200.94 : x
  2. Step 2: Convert to fraction form
    222.82/332.67 = 200.94/x
  3. Step 3: Cross multiply
    222.82x = 332.67 × 200.94
  4. Step 4: Simplify right side
    222.82x = 66,846.71
  5. Step 5: Solve for x
    x = 66,846.71/222.82
  6. Step 6: Final answer
    x = 300.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.