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Finding the Fourth Proportional to 222.49, 334.04 and 120.02

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Solution

The fourth proportional to 222.49, 334.04 and 120.02 is: 180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.49 : 334.04 = 120.02 : x
  2. Step 2: Convert to fraction form
    222.49/334.04 = 120.02/x
  3. Step 3: Cross multiply
    222.49x = 334.04 × 120.02
  4. Step 4: Simplify right side
    222.49x = 40,091.72
  5. Step 5: Solve for x
    x = 40,091.72/222.49
  6. Step 6: Final answer
    x = 180.20

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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.