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Finding the Fourth Proportional to 272.86, 409.42 and 141.18

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Solution

The fourth proportional to 272.86, 409.42 and 141.18 is: 211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.86 : 409.42 = 141.18 : x
  2. Step 2: Convert to fraction form
    272.86/409.42 = 141.18/x
  3. Step 3: Cross multiply
    272.86x = 409.42 × 141.18
  4. Step 4: Simplify right side
    272.86x = 57,801.92
  5. Step 5: Solve for x
    x = 57,801.92/272.86
  6. Step 6: Final answer
    x = 211.84

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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.