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Finding the Fourth Proportional to 366, 548.28 and 182.84

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Solution

The fourth proportional to 366, 548.28 and 182.84 is: 273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    366 : 548.28 = 182.84 : x
  2. Step 2: Convert to fraction form
    366/548.28 = 182.84/x
  3. Step 3: Cross multiply
    366x = 548.28 × 182.84
  4. Step 4: Simplify right side
    366x = 100,247.52
  5. Step 5: Solve for x
    x = 100,247.52/366
  6. Step 6: Final answer
    x = 273.90

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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.