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Finding the Fourth Proportional to 272.16, 408.24 and 200.07

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Solution

The fourth proportional to 272.16, 408.24 and 200.07 is: 300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.16 : 408.24 = 200.07 : x
  2. Step 2: Convert to fraction form
    272.16/408.24 = 200.07/x
  3. Step 3: Cross multiply
    272.16x = 408.24 × 200.07
  4. Step 4: Simplify right side
    272.16x = 81,676.58
  5. Step 5: Solve for x
    x = 81,676.58/272.16
  6. Step 6: Final answer
    x = 300.11

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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.