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Finding the Fourth Proportional to 225.27, 313.00 and 222.86

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Solution

The fourth proportional to 225.27, 313.00 and 222.86 is: 309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.27 : 313.00 = 222.86 : x
  2. Step 2: Convert to fraction form
    225.27/313.00 = 222.86/x
  3. Step 3: Cross multiply
    225.27x = 313.00 × 222.86
  4. Step 4: Simplify right side
    225.27x = 69,755.41
  5. Step 5: Solve for x
    x = 69,755.41/225.27
  6. Step 6: Final answer
    x = 309.65

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.