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Finding the Fourth Proportional to 245.92, 367.54 and 226.46

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Solution

The fourth proportional to 245.92, 367.54 and 226.46 is: 338.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.92 : 367.54 = 226.46 : x
  2. Step 2: Convert to fraction form
    245.92/367.54 = 226.46/x
  3. Step 3: Cross multiply
    245.92x = 367.54 × 226.46
  4. Step 4: Simplify right side
    245.92x = 83,233.11
  5. Step 5: Solve for x
    x = 83,233.11/245.92
  6. Step 6: Final answer
    x = 338.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.