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Finding the Fourth Proportional to 204.21, 308.21 and 204.21

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Solution

The fourth proportional to 204.21, 308.21 and 204.21 is: 308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.21 : 308.21 = 204.21 : x
  2. Step 2: Convert to fraction form
    204.21/308.21 = 204.21/x
  3. Step 3: Cross multiply
    204.21x = 308.21 × 204.21
  4. Step 4: Simplify right side
    204.21x = 62,938.54
  5. Step 5: Solve for x
    x = 62,938.54/204.21
  6. Step 6: Final answer
    x = 308.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.