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Finding the Fourth Proportional to 204.26, 305.57 and 170.08

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Solution

The fourth proportional to 204.26, 305.57 and 170.08 is: 254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.26 : 305.57 = 170.08 : x
  2. Step 2: Convert to fraction form
    204.26/305.57 = 170.08/x
  3. Step 3: Cross multiply
    204.26x = 305.57 × 170.08
  4. Step 4: Simplify right side
    204.26x = 51,968.97
  5. Step 5: Solve for x
    x = 51,968.97/204.26
  6. Step 6: Final answer
    x = 254.43

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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.