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Finding the Fourth Proportional to 280.30, 419.34 and 182.56

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Solution

The fourth proportional to 280.30, 419.34 and 182.56 is: 273.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.30 : 419.34 = 182.56 : x
  2. Step 2: Convert to fraction form
    280.30/419.34 = 182.56/x
  3. Step 3: Cross multiply
    280.30x = 419.34 × 182.56
  4. Step 4: Simplify right side
    280.30x = 76,554.71
  5. Step 5: Solve for x
    x = 76,554.71/280.30
  6. Step 6: Final answer
    x = 273.12

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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.