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Finding the Fourth Proportional to 255.10, 381.83 and 216.22

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Solution

The fourth proportional to 255.10, 381.83 and 216.22 is: 323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.10 : 381.83 = 216.22 : x
  2. Step 2: Convert to fraction form
    255.10/381.83 = 216.22/x
  3. Step 3: Cross multiply
    255.10x = 381.83 × 216.22
  4. Step 4: Simplify right side
    255.10x = 82,557.37
  5. Step 5: Solve for x
    x = 82,557.37/255.10
  6. Step 6: Final answer
    x = 323.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.