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Finding the Fourth Proportional to 204.56, 306.73 and 96.25

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Solution

The fourth proportional to 204.56, 306.73 and 96.25 is: 144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.56 : 306.73 = 96.25 : x
  2. Step 2: Convert to fraction form
    204.56/306.73 = 96.25/x
  3. Step 3: Cross multiply
    204.56x = 306.73 × 96.25
  4. Step 4: Simplify right side
    204.56x = 29,522.76
  5. Step 5: Solve for x
    x = 29,522.76/204.56
  6. Step 6: Final answer
    x = 144.32

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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.