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Finding the Fourth Proportional to 217.77, 324.75 and 213.09

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Solution

The fourth proportional to 217.77, 324.75 and 213.09 is: 317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.77 : 324.75 = 213.09 : x
  2. Step 2: Convert to fraction form
    217.77/324.75 = 213.09/x
  3. Step 3: Cross multiply
    217.77x = 324.75 × 213.09
  4. Step 4: Simplify right side
    217.77x = 69,200.98
  5. Step 5: Solve for x
    x = 69,200.98/217.77
  6. Step 6: Final answer
    x = 317.77

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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.