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Finding the Fourth Proportional to 222, 333 and 136.68

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Solution

The fourth proportional to 222, 333 and 136.68 is: 205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    222 : 333 = 136.68 : x
  2. Step 2: Convert to fraction form
    222/333 = 136.68/x
  3. Step 3: Cross multiply
    222x = 333 × 136.68
  4. Step 4: Simplify right side
    222x = 45,514.44
  5. Step 5: Solve for x
    x = 45,514.44/222
  6. Step 6: Final answer
    x = 205.02

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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.