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Finding the Fourth Proportional to 279.68, 418.26 and 238.64

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Solution

The fourth proportional to 279.68, 418.26 and 238.64 is: 356.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.68 : 418.26 = 238.64 : x
  2. Step 2: Convert to fraction form
    279.68/418.26 = 238.64/x
  3. Step 3: Cross multiply
    279.68x = 418.26 × 238.64
  4. Step 4: Simplify right side
    279.68x = 99,813.57
  5. Step 5: Solve for x
    x = 99,813.57/279.68
  6. Step 6: Final answer
    x = 356.88

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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.