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Finding the Fourth Proportional to 362.28, 500.00 and 222.37

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Solution

The fourth proportional to 362.28, 500.00 and 222.37 is: 306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.28 : 500.00 = 222.37 : x
  2. Step 2: Convert to fraction form
    362.28/500.00 = 222.37/x
  3. Step 3: Cross multiply
    362.28x = 500.00 × 222.37
  4. Step 4: Simplify right side
    362.28x = 111,182.64
  5. Step 5: Solve for x
    x = 111,182.64/362.28
  6. Step 6: Final answer
    x = 306.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.