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Finding the Fourth Proportional to 222, 333.18 and 113.82

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Solution

The fourth proportional to 222, 333.18 and 113.82 is: 170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    222 : 333.18 = 113.82 : x
  2. Step 2: Convert to fraction form
    222/333.18 = 113.82/x
  3. Step 3: Cross multiply
    222x = 333.18 × 113.82
  4. Step 4: Simplify right side
    222x = 37,922.55
  5. Step 5: Solve for x
    x = 37,922.55/222
  6. Step 6: Final answer
    x = 170.82

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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.