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Finding the Fourth Proportional to 222.70, 333.92 and 107.17

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Solution

The fourth proportional to 222.70, 333.92 and 107.17 is: 160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.70 : 333.92 = 107.17 : x
  2. Step 2: Convert to fraction form
    222.70/333.92 = 107.17/x
  3. Step 3: Cross multiply
    222.70x = 333.92 × 107.17
  4. Step 4: Simplify right side
    222.70x = 35,786.21
  5. Step 5: Solve for x
    x = 35,786.21/222.70
  6. Step 6: Final answer
    x = 160.69

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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.