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Finding the Fourth Proportional to 216.21, 323.78 and 202.54

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Solution

The fourth proportional to 216.21, 323.78 and 202.54 is: 303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.21 : 323.78 = 202.54 : x
  2. Step 2: Convert to fraction form
    216.21/323.78 = 202.54/x
  3. Step 3: Cross multiply
    216.21x = 323.78 × 202.54
  4. Step 4: Simplify right side
    216.21x = 65,578.40
  5. Step 5: Solve for x
    x = 65,578.40/216.21
  6. Step 6: Final answer
    x = 303.32

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Why These Related Problems?

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