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Finding the Fourth Proportional to 411.78, 617.60 and 134.16

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Solution

The fourth proportional to 411.78, 617.60 and 134.16 is: 201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.78 : 617.60 = 134.16 : x
  2. Step 2: Convert to fraction form
    411.78/617.60 = 134.16/x
  3. Step 3: Cross multiply
    411.78x = 617.60 × 134.16
  4. Step 4: Simplify right side
    411.78x = 82,857.22
  5. Step 5: Solve for x
    x = 82,857.22/411.78
  6. Step 6: Final answer
    x = 201.22

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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.