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Finding the Fourth Proportional to 183.02, 274.26 and 91.77

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Solution

The fourth proportional to 183.02, 274.26 and 91.77 is: 137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.02 : 274.26 = 91.77 : x
  2. Step 2: Convert to fraction form
    183.02/274.26 = 91.77/x
  3. Step 3: Cross multiply
    183.02x = 274.26 × 91.77
  4. Step 4: Simplify right side
    183.02x = 25,168.84
  5. Step 5: Solve for x
    x = 25,168.84/183.02
  6. Step 6: Final answer
    x = 137.52

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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.