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Finding the Fourth Proportional to 223.11, 334.46 and 154.76

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Solution

The fourth proportional to 223.11, 334.46 and 154.76 is: 231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.11 : 334.46 = 154.76 : x
  2. Step 2: Convert to fraction form
    223.11/334.46 = 154.76/x
  3. Step 3: Cross multiply
    223.11x = 334.46 × 154.76
  4. Step 4: Simplify right side
    223.11x = 51,759.74
  5. Step 5: Solve for x
    x = 51,759.74/223.11
  6. Step 6: Final answer
    x = 231.99

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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.