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Finding the Fourth Proportional to 204.87, 306.96 and 123.60

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Solution

The fourth proportional to 204.87, 306.96 and 123.60 is: 185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.87 : 306.96 = 123.60 : x
  2. Step 2: Convert to fraction form
    204.87/306.96 = 123.60/x
  3. Step 3: Cross multiply
    204.87x = 306.96 × 123.60
  4. Step 4: Simplify right side
    204.87x = 37,940.26
  5. Step 5: Solve for x
    x = 37,940.26/204.87
  6. Step 6: Final answer
    x = 185.19

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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.