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Finding the Fourth Proportional to 183.22, 274.41 and 144.43

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Solution

The fourth proportional to 183.22, 274.41 and 144.43 is: 216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.22 : 274.41 = 144.43 : x
  2. Step 2: Convert to fraction form
    183.22/274.41 = 144.43/x
  3. Step 3: Cross multiply
    183.22x = 274.41 × 144.43
  4. Step 4: Simplify right side
    183.22x = 39,633.04
  5. Step 5: Solve for x
    x = 39,633.04/183.22
  6. Step 6: Final answer
    x = 216.31

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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.