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Finding the Fourth Proportional to 279.08, 385.26 and 180.89

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Solution

The fourth proportional to 279.08, 385.26 and 180.89 is: 249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.08 : 385.26 = 180.89 : x
  2. Step 2: Convert to fraction form
    279.08/385.26 = 180.89/x
  3. Step 3: Cross multiply
    279.08x = 385.26 × 180.89
  4. Step 4: Simplify right side
    279.08x = 69,687.76
  5. Step 5: Solve for x
    x = 69,687.76/279.08
  6. Step 6: Final answer
    x = 249.71

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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.