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Finding the Fourth Proportional to 272.85, 409.41 and 135.87

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Solution

The fourth proportional to 272.85, 409.41 and 135.87 is: 203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.85 : 409.41 = 135.87 : x
  2. Step 2: Convert to fraction form
    272.85/409.41 = 135.87/x
  3. Step 3: Cross multiply
    272.85x = 409.41 × 135.87
  4. Step 4: Simplify right side
    272.85x = 55,626.54
  5. Step 5: Solve for x
    x = 55,626.54/272.85
  6. Step 6: Final answer
    x = 203.87

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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.