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Finding the Fourth Proportional to 366.97, 506.42 and 201.18

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Solution

The fourth proportional to 366.97, 506.42 and 201.18 is: 277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.97 : 506.42 = 201.18 : x
  2. Step 2: Convert to fraction form
    366.97/506.42 = 201.18/x
  3. Step 3: Cross multiply
    366.97x = 506.42 × 201.18
  4. Step 4: Simplify right side
    366.97x = 101,881.09
  5. Step 5: Solve for x
    x = 101,881.09/366.97
  6. Step 6: Final answer
    x = 277.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.