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Finding the Fourth Proportional to 183.06, 274.44 and 96.22

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Solution

The fourth proportional to 183.06, 274.44 and 96.22 is: 144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.06 : 274.44 = 96.22 : x
  2. Step 2: Convert to fraction form
    183.06/274.44 = 96.22/x
  3. Step 3: Cross multiply
    183.06x = 274.44 × 96.22
  4. Step 4: Simplify right side
    183.06x = 26,406.62
  5. Step 5: Solve for x
    x = 26,406.62/183.06
  6. Step 6: Final answer
    x = 144.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.