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Finding the Fourth Proportional to 204.09, 306.19 and 167.59

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Solution

The fourth proportional to 204.09, 306.19 and 167.59 is: 251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.09 : 306.19 = 167.59 : x
  2. Step 2: Convert to fraction form
    204.09/306.19 = 167.59/x
  3. Step 3: Cross multiply
    204.09x = 306.19 × 167.59
  4. Step 4: Simplify right side
    204.09x = 51,313.46
  5. Step 5: Solve for x
    x = 51,313.46/204.09
  6. Step 6: Final answer
    x = 251.43

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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.