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Finding the Fourth Proportional to 272.70, 408.68 and 118.54

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Solution

The fourth proportional to 272.70, 408.68 and 118.54 is: 177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.70 : 408.68 = 118.54 : x
  2. Step 2: Convert to fraction form
    272.70/408.68 = 118.54/x
  3. Step 3: Cross multiply
    272.70x = 408.68 × 118.54
  4. Step 4: Simplify right side
    272.70x = 48,444.93
  5. Step 5: Solve for x
    x = 48,444.93/272.70
  6. Step 6: Final answer
    x = 177.65

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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.