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Finding the Fourth Proportional to 272.48, 408.24 and 245.60

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Solution

The fourth proportional to 272.48, 408.24 and 245.60 is: 367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.48 : 408.24 = 245.60 : x
  2. Step 2: Convert to fraction form
    272.48/408.24 = 245.60/x
  3. Step 3: Cross multiply
    272.48x = 408.24 × 245.60
  4. Step 4: Simplify right side
    272.48x = 100,263.74
  5. Step 5: Solve for x
    x = 100,263.74/272.48
  6. Step 6: Final answer
    x = 367.97

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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.