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Finding the Fourth Proportional to 182.77, 274.73 and 122.29

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Solution

The fourth proportional to 182.77, 274.73 and 122.29 is: 183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.77 : 274.73 = 122.29 : x
  2. Step 2: Convert to fraction form
    182.77/274.73 = 122.29/x
  3. Step 3: Cross multiply
    182.77x = 274.73 × 122.29
  4. Step 4: Simplify right side
    182.77x = 33,596.98
  5. Step 5: Solve for x
    x = 33,596.98/182.77
  6. Step 6: Final answer
    x = 183.82

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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.