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Finding the Fourth Proportional to 367.66, 507.31 and 201.84

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Solution

The fourth proportional to 367.66, 507.31 and 201.84 is: 278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.66 : 507.31 = 201.84 : x
  2. Step 2: Convert to fraction form
    367.66/507.31 = 201.84/x
  3. Step 3: Cross multiply
    367.66x = 507.31 × 201.84
  4. Step 4: Simplify right side
    367.66x = 102,395.45
  5. Step 5: Solve for x
    x = 102,395.45/367.66
  6. Step 6: Final answer
    x = 278.51

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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.