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Finding the Fourth Proportional to 222.94, 334.08 and 120.28

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Solution

The fourth proportional to 222.94, 334.08 and 120.28 is: 180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.94 : 334.08 = 120.28 : x
  2. Step 2: Convert to fraction form
    222.94/334.08 = 120.28/x
  3. Step 3: Cross multiply
    222.94x = 334.08 × 120.28
  4. Step 4: Simplify right side
    222.94x = 40,183.14
  5. Step 5: Solve for x
    x = 40,183.14/222.94
  6. Step 6: Final answer
    x = 180.24

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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.