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Finding the Fourth Proportional to 222.10, 305.78 and 195.84

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Solution

The fourth proportional to 222.10, 305.78 and 195.84 is: 269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.10 : 305.78 = 195.84 : x
  2. Step 2: Convert to fraction form
    222.10/305.78 = 195.84/x
  3. Step 3: Cross multiply
    222.10x = 305.78 × 195.84
  4. Step 4: Simplify right side
    222.10x = 59,883.96
  5. Step 5: Solve for x
    x = 59,883.96/222.10
  6. Step 6: Final answer
    x = 269.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.