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Finding the Fourth Proportional to 279, 384.96 and 180.75

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Solution

The fourth proportional to 279, 384.96 and 180.75 is: 249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    279 : 384.96 = 180.75 : x
  2. Step 2: Convert to fraction form
    279/384.96 = 180.75/x
  3. Step 3: Cross multiply
    279x = 384.96 × 180.75
  4. Step 4: Simplify right side
    279x = 69,581.52
  5. Step 5: Solve for x
    x = 69,581.52/279
  6. Step 6: Final answer
    x = 249.40

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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.