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Finding the Fourth Proportional to 222.30, 333.63 and 208.11

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Solution

The fourth proportional to 222.30, 333.63 and 208.11 is: 312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.30 : 333.63 = 208.11 : x
  2. Step 2: Convert to fraction form
    222.30/333.63 = 208.11/x
  3. Step 3: Cross multiply
    222.30x = 333.63 × 208.11
  4. Step 4: Simplify right side
    222.30x = 69,431.74
  5. Step 5: Solve for x
    x = 69,431.74/222.30
  6. Step 6: Final answer
    x = 312.33

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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.