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Finding the Fourth Proportional to 279.20, 418.98 and 234.08

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Solution

The fourth proportional to 279.20, 418.98 and 234.08 is: 351.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.20 : 418.98 = 234.08 : x
  2. Step 2: Convert to fraction form
    279.20/418.98 = 234.08/x
  3. Step 3: Cross multiply
    279.20x = 418.98 × 234.08
  4. Step 4: Simplify right side
    279.20x = 98,074.84
  5. Step 5: Solve for x
    x = 98,074.84/279.20
  6. Step 6: Final answer
    x = 351.27

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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.