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Finding the Fourth Proportional to 272.72, 409.14 and 223.86

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Solution

The fourth proportional to 272.72, 409.14 and 223.86 is: 335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.72 : 409.14 = 223.86 : x
  2. Step 2: Convert to fraction form
    272.72/409.14 = 223.86/x
  3. Step 3: Cross multiply
    272.72x = 409.14 × 223.86
  4. Step 4: Simplify right side
    272.72x = 91,590.08
  5. Step 5: Solve for x
    x = 91,590.08/272.72
  6. Step 6: Final answer
    x = 335.84

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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.