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Finding the Fourth Proportional to 216.34, 324.38 and 92.84

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Solution

The fourth proportional to 216.34, 324.38 and 92.84 is: 139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.34 : 324.38 = 92.84 : x
  2. Step 2: Convert to fraction form
    216.34/324.38 = 92.84/x
  3. Step 3: Cross multiply
    216.34x = 324.38 × 92.84
  4. Step 4: Simplify right side
    216.34x = 30,114.05
  5. Step 5: Solve for x
    x = 30,114.05/216.34
  6. Step 6: Final answer
    x = 139.20

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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.