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Finding the Fourth Proportional to 182.46, 273.96 and 179.22

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Solution

The fourth proportional to 182.46, 273.96 and 179.22 is: 269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.46 : 273.96 = 179.22 : x
  2. Step 2: Convert to fraction form
    182.46/273.96 = 179.22/x
  3. Step 3: Cross multiply
    182.46x = 273.96 × 179.22
  4. Step 4: Simplify right side
    182.46x = 49,099.11
  5. Step 5: Solve for x
    x = 49,099.11/182.46
  6. Step 6: Final answer
    x = 269.10

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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.