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Finding the Fourth Proportional to 182.97, 274.26 and 80.22

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Solution

The fourth proportional to 182.97, 274.26 and 80.22 is: 120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.97 : 274.26 = 80.22 : x
  2. Step 2: Convert to fraction form
    182.97/274.26 = 80.22/x
  3. Step 3: Cross multiply
    182.97x = 274.26 × 80.22
  4. Step 4: Simplify right side
    182.97x = 22,001.14
  5. Step 5: Solve for x
    x = 22,001.14/182.97
  6. Step 6: Final answer
    x = 120.24

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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.