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Finding the Fourth Proportional to 223.23, 334.46 and 120.56

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Solution

The fourth proportional to 223.23, 334.46 and 120.56 is: 180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.23 : 334.46 = 120.56 : x
  2. Step 2: Convert to fraction form
    223.23/334.46 = 120.56/x
  3. Step 3: Cross multiply
    223.23x = 334.46 × 120.56
  4. Step 4: Simplify right side
    223.23x = 40,322.50
  5. Step 5: Solve for x
    x = 40,322.50/223.23
  6. Step 6: Final answer
    x = 180.63

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Why These Related Problems?

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