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Finding the Fourth Proportional to 253.92, 380.73 and 120.34

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Solution

The fourth proportional to 253.92, 380.73 and 120.34 is: 180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.92 : 380.73 = 120.34 : x
  2. Step 2: Convert to fraction form
    253.92/380.73 = 120.34/x
  3. Step 3: Cross multiply
    253.92x = 380.73 × 120.34
  4. Step 4: Simplify right side
    253.92x = 45,815.14
  5. Step 5: Solve for x
    x = 45,815.14/253.92
  6. Step 6: Final answer
    x = 180.43

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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.