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Finding the Fourth Proportional to 263.86, 362.98 and 222.55

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Solution

The fourth proportional to 263.86, 362.98 and 222.55 is: 306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.86 : 362.98 = 222.55 : x
  2. Step 2: Convert to fraction form
    263.86/362.98 = 222.55/x
  3. Step 3: Cross multiply
    263.86x = 362.98 × 222.55
  4. Step 4: Simplify right side
    263.86x = 80,780.57
  5. Step 5: Solve for x
    x = 80,780.57/263.86
  6. Step 6: Final answer
    x = 306.15

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