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Finding the Fourth Proportional to 223.14, 334.46 and 150.03

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Solution

The fourth proportional to 223.14, 334.46 and 150.03 is: 224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.14 : 334.46 = 150.03 : x
  2. Step 2: Convert to fraction form
    223.14/334.46 = 150.03/x
  3. Step 3: Cross multiply
    223.14x = 334.46 × 150.03
  4. Step 4: Simplify right side
    223.14x = 50,178.28
  5. Step 5: Solve for x
    x = 50,178.28/223.14
  6. Step 6: Final answer
    x = 224.87

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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.