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Finding the Fourth Proportional to 216.99, 323.58 and 204.21

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Solution

The fourth proportional to 216.99, 323.58 and 204.21 is: 304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.99 : 323.58 = 204.21 : x
  2. Step 2: Convert to fraction form
    216.99/323.58 = 204.21/x
  3. Step 3: Cross multiply
    216.99x = 323.58 × 204.21
  4. Step 4: Simplify right side
    216.99x = 66,078.27
  5. Step 5: Solve for x
    x = 66,078.27/216.99
  6. Step 6: Final answer
    x = 304.52

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Why These Related Problems?

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