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Finding the Fourth Proportional to 366.22, 548.97 and 183.34

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Solution

The fourth proportional to 366.22, 548.97 and 183.34 is: 274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.22 : 548.97 = 183.34 : x
  2. Step 2: Convert to fraction form
    366.22/548.97 = 183.34/x
  3. Step 3: Cross multiply
    366.22x = 548.97 × 183.34
  4. Step 4: Simplify right side
    366.22x = 100,648.16
  5. Step 5: Solve for x
    x = 100,648.16/366.22
  6. Step 6: Final answer
    x = 274.83

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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.