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Finding the Fourth Proportional to 182.45, 273.46 and 180.42

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Solution

The fourth proportional to 182.45, 273.46 and 180.42 is: 270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.45 : 273.46 = 180.42 : x
  2. Step 2: Convert to fraction form
    182.45/273.46 = 180.42/x
  3. Step 3: Cross multiply
    182.45x = 273.46 × 180.42
  4. Step 4: Simplify right side
    182.45x = 49,337.65
  5. Step 5: Solve for x
    x = 49,337.65/182.45
  6. Step 6: Final answer
    x = 270.42

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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.