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Finding the Fourth Proportional to 227.72, 312.33 and 210.71

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Solution

The fourth proportional to 227.72, 312.33 and 210.71 is: 289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.72 : 312.33 = 210.71 : x
  2. Step 2: Convert to fraction form
    227.72/312.33 = 210.71/x
  3. Step 3: Cross multiply
    227.72x = 312.33 × 210.71
  4. Step 4: Simplify right side
    227.72x = 65,811.05
  5. Step 5: Solve for x
    x = 65,811.05/227.72
  6. Step 6: Final answer
    x = 289.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.