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Finding the Fourth Proportional to 182.49, 273.77 and 74.31

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Solution

The fourth proportional to 182.49, 273.77 and 74.31 is: 111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.49 : 273.77 = 74.31 : x
  2. Step 2: Convert to fraction form
    182.49/273.77 = 74.31/x
  3. Step 3: Cross multiply
    182.49x = 273.77 × 74.31
  4. Step 4: Simplify right side
    182.49x = 20,342.67
  5. Step 5: Solve for x
    x = 20,342.67/182.49
  6. Step 6: Final answer
    x = 111.48

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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.