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Finding the Fourth Proportional to 367.40, 507.02 and 201.63

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Solution

The fourth proportional to 367.40, 507.02 and 201.63 is: 278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.40 : 507.02 = 201.63 : x
  2. Step 2: Convert to fraction form
    367.40/507.02 = 201.63/x
  3. Step 3: Cross multiply
    367.40x = 507.02 × 201.63
  4. Step 4: Simplify right side
    367.40x = 102,232.22
  5. Step 5: Solve for x
    x = 102,232.22/367.40
  6. Step 6: Final answer
    x = 278.26

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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.