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Finding the Fourth Proportional to 216.84, 325.24 and 204.15

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Solution

The fourth proportional to 216.84, 325.24 and 204.15 is: 306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.84 : 325.24 = 204.15 : x
  2. Step 2: Convert to fraction form
    216.84/325.24 = 204.15/x
  3. Step 3: Cross multiply
    216.84x = 325.24 × 204.15
  4. Step 4: Simplify right side
    216.84x = 66,396.73
  5. Step 5: Solve for x
    x = 66,396.73/216.84
  6. Step 6: Final answer
    x = 306.20

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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.