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Finding the Fourth Proportional to 366.09, 548.46 and 183.45

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Solution

The fourth proportional to 366.09, 548.46 and 183.45 is: 274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.09 : 548.46 = 183.45 : x
  2. Step 2: Convert to fraction form
    366.09/548.46 = 183.45/x
  3. Step 3: Cross multiply
    366.09x = 548.46 × 183.45
  4. Step 4: Simplify right side
    366.09x = 100,614.99
  5. Step 5: Solve for x
    x = 100,614.99/366.09
  6. Step 6: Final answer
    x = 274.84

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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.