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Finding the Fourth Proportional to 366.79, 506.16 and 201.01

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Solution

The fourth proportional to 366.79, 506.16 and 201.01 is: 277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.79 : 506.16 = 201.01 : x
  2. Step 2: Convert to fraction form
    366.79/506.16 = 201.01/x
  3. Step 3: Cross multiply
    366.79x = 506.16 × 201.01
  4. Step 4: Simplify right side
    366.79x = 101,743.22
  5. Step 5: Solve for x
    x = 101,743.22/366.79
  6. Step 6: Final answer
    x = 277.39

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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.