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Finding the Fourth Proportional to 282.24, 423.35 and 119.73

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Solution

The fourth proportional to 282.24, 423.35 and 119.73 is: 179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.24 : 423.35 = 119.73 : x
  2. Step 2: Convert to fraction form
    282.24/423.35 = 119.73/x
  3. Step 3: Cross multiply
    282.24x = 423.35 × 119.73
  4. Step 4: Simplify right side
    282.24x = 50,687.70
  5. Step 5: Solve for x
    x = 50,687.70/282.24
  6. Step 6: Final answer
    x = 179.59

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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.