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Finding the Fourth Proportional to 222.38, 333.58 and 119.76

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Solution

The fourth proportional to 222.38, 333.58 and 119.76 is: 179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.38 : 333.58 = 119.76 : x
  2. Step 2: Convert to fraction form
    222.38/333.58 = 119.76/x
  3. Step 3: Cross multiply
    222.38x = 333.58 × 119.76
  4. Step 4: Simplify right side
    222.38x = 39,949.54
  5. Step 5: Solve for x
    x = 39,949.54/222.38
  6. Step 6: Final answer
    x = 179.65

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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.