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Finding the Fourth Proportional to 182.62, 273.76 and 74.42

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Solution

The fourth proportional to 182.62, 273.76 and 74.42 is: 111.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.62 : 273.76 = 74.42 : x
  2. Step 2: Convert to fraction form
    182.62/273.76 = 74.42/x
  3. Step 3: Cross multiply
    182.62x = 273.76 × 74.42
  4. Step 4: Simplify right side
    182.62x = 20,373.22
  5. Step 5: Solve for x
    x = 20,373.22/182.62
  6. Step 6: Final answer
    x = 111.56

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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.