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Finding the Fourth Proportional to 204.96, 306.96 and 172.56

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Solution

The fourth proportional to 204.96, 306.96 and 172.56 is: 258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.96 : 306.96 = 172.56 : x
  2. Step 2: Convert to fraction form
    204.96/306.96 = 172.56/x
  3. Step 3: Cross multiply
    204.96x = 306.96 × 172.56
  4. Step 4: Simplify right side
    204.96x = 52,969.02
  5. Step 5: Solve for x
    x = 52,969.02/204.96
  6. Step 6: Final answer
    x = 258.44

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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.