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Finding the Fourth Proportional to 222.36, 333.69 and 150.22

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Solution

The fourth proportional to 222.36, 333.69 and 150.22 is: 225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.36 : 333.69 = 150.22 : x
  2. Step 2: Convert to fraction form
    222.36/333.69 = 150.22/x
  3. Step 3: Cross multiply
    222.36x = 333.69 × 150.22
  4. Step 4: Simplify right side
    222.36x = 50,126.91
  5. Step 5: Solve for x
    x = 50,126.91/222.36
  6. Step 6: Final answer
    x = 225.43

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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.