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Finding the Fourth Proportional to 182.78, 274.07 and 80.01

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Solution

The fourth proportional to 182.78, 274.07 and 80.01 is: 119.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.78 : 274.07 = 80.01 : x
  2. Step 2: Convert to fraction form
    182.78/274.07 = 80.01/x
  3. Step 3: Cross multiply
    182.78x = 274.07 × 80.01
  4. Step 4: Simplify right side
    182.78x = 21,927.94
  5. Step 5: Solve for x
    x = 21,927.94/182.78
  6. Step 6: Final answer
    x = 119.97

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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.