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Finding the Fourth Proportional to 227.67, 339.83 and 211.65

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Solution

The fourth proportional to 227.67, 339.83 and 211.65 is: 315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.67 : 339.83 = 211.65 : x
  2. Step 2: Convert to fraction form
    227.67/339.83 = 211.65/x
  3. Step 3: Cross multiply
    227.67x = 339.83 × 211.65
  4. Step 4: Simplify right side
    227.67x = 71,925.02
  5. Step 5: Solve for x
    x = 71,925.02/227.67
  6. Step 6: Final answer
    x = 315.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.