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Finding the Fourth Proportional to 272.84, 408.48 and 208.10

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Solution

The fourth proportional to 272.84, 408.48 and 208.10 is: 311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.84 : 408.48 = 208.10 : x
  2. Step 2: Convert to fraction form
    272.84/408.48 = 208.10/x
  3. Step 3: Cross multiply
    272.84x = 408.48 × 208.10
  4. Step 4: Simplify right side
    272.84x = 85,004.93
  5. Step 5: Solve for x
    x = 85,004.93/272.84
  6. Step 6: Final answer
    x = 311.56

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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.