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Finding the Fourth Proportional to 279.56, 418.98 and 182.04

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Solution

The fourth proportional to 279.56, 418.98 and 182.04 is: 272.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.56 : 418.98 = 182.04 : x
  2. Step 2: Convert to fraction form
    279.56/418.98 = 182.04/x
  3. Step 3: Cross multiply
    279.56x = 418.98 × 182.04
  4. Step 4: Simplify right side
    279.56x = 76,271.12
  5. Step 5: Solve for x
    x = 76,271.12/279.56
  6. Step 6: Final answer
    x = 272.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.