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Finding the Fourth Proportional to 245.52, 367.65 and 204.84

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Solution

The fourth proportional to 245.52, 367.65 and 204.84 is: 306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.52 : 367.65 = 204.84 : x
  2. Step 2: Convert to fraction form
    245.52/367.65 = 204.84/x
  3. Step 3: Cross multiply
    245.52x = 367.65 × 204.84
  4. Step 4: Simplify right side
    245.52x = 75,309.43
  5. Step 5: Solve for x
    x = 75,309.43/245.52
  6. Step 6: Final answer
    x = 306.73

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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.