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Finding the Fourth Proportional to 273.96, 378.18 and 205.16

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Solution

The fourth proportional to 273.96, 378.18 and 205.16 is: 283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.96 : 378.18 = 205.16 : x
  2. Step 2: Convert to fraction form
    273.96/378.18 = 205.16/x
  3. Step 3: Cross multiply
    273.96x = 378.18 × 205.16
  4. Step 4: Simplify right side
    273.96x = 77,587.41
  5. Step 5: Solve for x
    x = 77,587.41/273.96
  6. Step 6: Final answer
    x = 283.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.