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Finding the Fourth Proportional to 182.68, 273.78 and 74.35

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Solution

The fourth proportional to 182.68, 273.78 and 74.35 is: 111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.68 : 273.78 = 74.35 : x
  2. Step 2: Convert to fraction form
    182.68/273.78 = 74.35/x
  3. Step 3: Cross multiply
    182.68x = 273.78 × 74.35
  4. Step 4: Simplify right side
    182.68x = 20,355.54
  5. Step 5: Solve for x
    x = 20,355.54/182.68
  6. Step 6: Final answer
    x = 111.43

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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.