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Finding the Fourth Proportional to 367.30, 507.11 and 243.14

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Solution

The fourth proportional to 367.30, 507.11 and 243.14 is: 335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.30 : 507.11 = 243.14 : x
  2. Step 2: Convert to fraction form
    367.30/507.11 = 243.14/x
  3. Step 3: Cross multiply
    367.30x = 507.11 × 243.14
  4. Step 4: Simplify right side
    367.30x = 123,295.28
  5. Step 5: Solve for x
    x = 123,295.28/367.30
  6. Step 6: Final answer
    x = 335.68

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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.