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Finding the Fourth Proportional to 288.94, 398.90 and 196.18

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Solution

The fourth proportional to 288.94, 398.90 and 196.18 is: 270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.94 : 398.90 = 196.18 : x
  2. Step 2: Convert to fraction form
    288.94/398.90 = 196.18/x
  3. Step 3: Cross multiply
    288.94x = 398.90 × 196.18
  4. Step 4: Simplify right side
    288.94x = 78,256.20
  5. Step 5: Solve for x
    x = 78,256.20/288.94
  6. Step 6: Final answer
    x = 270.84

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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.