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Finding the Fourth Proportional to 377.64, 566.64 and 161.22

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Solution

The fourth proportional to 377.64, 566.64 and 161.22 is: 241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.64 : 566.64 = 161.22 : x
  2. Step 2: Convert to fraction form
    377.64/566.64 = 161.22/x
  3. Step 3: Cross multiply
    377.64x = 566.64 × 161.22
  4. Step 4: Simplify right side
    377.64x = 91,353.70
  5. Step 5: Solve for x
    x = 91,353.70/377.64
  6. Step 6: Final answer
    x = 241.91

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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.