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Finding the Fourth Proportional to 245.44, 367.62 and 193.81

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Solution

The fourth proportional to 245.44, 367.62 and 193.81 is: 290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.44 : 367.62 = 193.81 : x
  2. Step 2: Convert to fraction form
    245.44/367.62 = 193.81/x
  3. Step 3: Cross multiply
    245.44x = 367.62 × 193.81
  4. Step 4: Simplify right side
    245.44x = 71,248.43
  5. Step 5: Solve for x
    x = 71,248.43/245.44
  6. Step 6: Final answer
    x = 290.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.