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Finding the Fourth Proportional to 365.44, 548.02 and 121.94

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Solution

The fourth proportional to 365.44, 548.02 and 121.94 is: 182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.44 : 548.02 = 121.94 : x
  2. Step 2: Convert to fraction form
    365.44/548.02 = 121.94/x
  3. Step 3: Cross multiply
    365.44x = 548.02 × 121.94
  4. Step 4: Simplify right side
    365.44x = 66,825.56
  5. Step 5: Solve for x
    x = 66,825.56/365.44
  6. Step 6: Final answer
    x = 182.86

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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.