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Finding the Fourth Proportional to 217.63, 326.36 and 102.05

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Solution

The fourth proportional to 217.63, 326.36 and 102.05 is: 153.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.63 : 326.36 = 102.05 : x
  2. Step 2: Convert to fraction form
    217.63/326.36 = 102.05/x
  3. Step 3: Cross multiply
    217.63x = 326.36 × 102.05
  4. Step 4: Simplify right side
    217.63x = 33,305.04
  5. Step 5: Solve for x
    x = 33,305.04/217.63
  6. Step 6: Final answer
    x = 153.04

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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.