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Finding the Fourth Proportional to 217.00, 325.09 and 204.29

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Solution

The fourth proportional to 217.00, 325.09 and 204.29 is: 306.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.00 : 325.09 = 204.29 : x
  2. Step 2: Convert to fraction form
    217.00/325.09 = 204.29/x
  3. Step 3: Cross multiply
    217.00x = 325.09 × 204.29
  4. Step 4: Simplify right side
    217.00x = 66,409.99
  5. Step 5: Solve for x
    x = 66,409.99/217.00
  6. Step 6: Final answer
    x = 306.04

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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.