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Finding the Fourth Proportional to 222.95, 333.81 and 195.61

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Solution

The fourth proportional to 222.95, 333.81 and 195.61 is: 292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.95 : 333.81 = 195.61 : x
  2. Step 2: Convert to fraction form
    222.95/333.81 = 195.61/x
  3. Step 3: Cross multiply
    222.95x = 333.81 × 195.61
  4. Step 4: Simplify right side
    222.95x = 65,296.57
  5. Step 5: Solve for x
    x = 65,296.57/222.95
  6. Step 6: Final answer
    x = 292.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.