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Finding the Fourth Proportional to 367.63, 507.27 and 201.82

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Solution

The fourth proportional to 367.63, 507.27 and 201.82 is: 278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.63 : 507.27 = 201.82 : x
  2. Step 2: Convert to fraction form
    367.63/507.27 = 201.82/x
  3. Step 3: Cross multiply
    367.63x = 507.27 × 201.82
  4. Step 4: Simplify right side
    367.63x = 102,377.23
  5. Step 5: Solve for x
    x = 102,377.23/367.63
  6. Step 6: Final answer
    x = 278.48

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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.