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Finding the Fourth Proportional to 183.44, 274.82 and 105.26

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Solution

The fourth proportional to 183.44, 274.82 and 105.26 is: 157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.44 : 274.82 = 105.26 : x
  2. Step 2: Convert to fraction form
    183.44/274.82 = 105.26/x
  3. Step 3: Cross multiply
    183.44x = 274.82 × 105.26
  4. Step 4: Simplify right side
    183.44x = 28,927.21
  5. Step 5: Solve for x
    x = 28,927.21/183.44
  6. Step 6: Final answer
    x = 157.69

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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.