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Finding the Fourth Proportional to 367.06, 506.76 and 242.92

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Solution

The fourth proportional to 367.06, 506.76 and 242.92 is: 335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.06 : 506.76 = 242.92 : x
  2. Step 2: Convert to fraction form
    367.06/506.76 = 242.92/x
  3. Step 3: Cross multiply
    367.06x = 506.76 × 242.92
  4. Step 4: Simplify right side
    367.06x = 123,102.14
  5. Step 5: Solve for x
    x = 123,102.14/367.06
  6. Step 6: Final answer
    x = 335.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.