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Finding the Fourth Proportional to 223, 334.36 and 120.22

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Solution

The fourth proportional to 223, 334.36 and 120.22 is: 180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223 : 334.36 = 120.22 : x
  2. Step 2: Convert to fraction form
    223/334.36 = 120.22/x
  3. Step 3: Cross multiply
    223x = 334.36 × 120.22
  4. Step 4: Simplify right side
    223x = 40,196.76
  5. Step 5: Solve for x
    x = 40,196.76/223
  6. Step 6: Final answer
    x = 180.25

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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.