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Finding the Fourth Proportional to 183.20, 274.68 and 67.64

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Solution

The fourth proportional to 183.20, 274.68 and 67.64 is: 101.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.20 : 274.68 = 67.64 : x
  2. Step 2: Convert to fraction form
    183.20/274.68 = 67.64/x
  3. Step 3: Cross multiply
    183.20x = 274.68 × 67.64
  4. Step 4: Simplify right side
    183.20x = 18,577.98
  5. Step 5: Solve for x
    x = 18,577.98/183.20
  6. Step 6: Final answer
    x = 101.41

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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.