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Finding the Fourth Proportional to 222.14, 333.01 and 203.92

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Solution

The fourth proportional to 222.14, 333.01 and 203.92 is: 305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.14 : 333.01 = 203.92 : x
  2. Step 2: Convert to fraction form
    222.14/333.01 = 203.92/x
  3. Step 3: Cross multiply
    222.14x = 333.01 × 203.92
  4. Step 4: Simplify right side
    222.14x = 67,907.40
  5. Step 5: Solve for x
    x = 67,907.40/222.14
  6. Step 6: Final answer
    x = 305.70

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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.