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Finding the Fourth Proportional to 272.86, 409.46 and 118.82

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Solution

The fourth proportional to 272.86, 409.46 and 118.82 is: 178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.86 : 409.46 = 118.82 : x
  2. Step 2: Convert to fraction form
    272.86/409.46 = 118.82/x
  3. Step 3: Cross multiply
    272.86x = 409.46 × 118.82
  4. Step 4: Simplify right side
    272.86x = 48,652.47
  5. Step 5: Solve for x
    x = 48,652.47/272.86
  6. Step 6: Final answer
    x = 178.31

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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.