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Finding the Fourth Proportional to 217.67, 298.32 and 214.83

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Solution

The fourth proportional to 217.67, 298.32 and 214.83 is: 294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.67 : 298.32 = 214.83 : x
  2. Step 2: Convert to fraction form
    217.67/298.32 = 214.83/x
  3. Step 3: Cross multiply
    217.67x = 298.32 × 214.83
  4. Step 4: Simplify right side
    217.67x = 64,087.35
  5. Step 5: Solve for x
    x = 64,087.35/217.67
  6. Step 6: Final answer
    x = 294.42

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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.