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Finding the Fourth Proportional to 204.12, 306.05 and 122.99

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Solution

The fourth proportional to 204.12, 306.05 and 122.99 is: 184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.12 : 306.05 = 122.99 : x
  2. Step 2: Convert to fraction form
    204.12/306.05 = 122.99/x
  3. Step 3: Cross multiply
    204.12x = 306.05 × 122.99
  4. Step 4: Simplify right side
    204.12x = 37,638.94
  5. Step 5: Solve for x
    x = 37,638.94/204.12
  6. Step 6: Final answer
    x = 184.40

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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.