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Finding the Fourth Proportional to 262.12, 360.90 and 222.70

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Solution

The fourth proportional to 262.12, 360.90 and 222.70 is: 306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.12 : 360.90 = 222.70 : x
  2. Step 2: Convert to fraction form
    262.12/360.90 = 222.70/x
  3. Step 3: Cross multiply
    262.12x = 360.90 × 222.70
  4. Step 4: Simplify right side
    262.12x = 80,372.43
  5. Step 5: Solve for x
    x = 80,372.43/262.12
  6. Step 6: Final answer
    x = 306.62

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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.