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Finding the Fourth Proportional to 223.05, 333.75 and 150.96

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Solution

The fourth proportional to 223.05, 333.75 and 150.96 is: 225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.05 : 333.75 = 150.96 : x
  2. Step 2: Convert to fraction form
    223.05/333.75 = 150.96/x
  3. Step 3: Cross multiply
    223.05x = 333.75 × 150.96
  4. Step 4: Simplify right side
    223.05x = 50,382.90
  5. Step 5: Solve for x
    x = 50,382.90/223.05
  6. Step 6: Final answer
    x = 225.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.