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Finding the Fourth Proportional to 204.18, 306.24 and 122.84

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Solution

The fourth proportional to 204.18, 306.24 and 122.84 is: 184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.18 : 306.24 = 122.84 : x
  2. Step 2: Convert to fraction form
    204.18/306.24 = 122.84/x
  3. Step 3: Cross multiply
    204.18x = 306.24 × 122.84
  4. Step 4: Simplify right side
    204.18x = 37,618.52
  5. Step 5: Solve for x
    x = 37,618.52/204.18
  6. Step 6: Final answer
    x = 184.24

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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.