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Finding the Fourth Proportional to 293.45, 440.33 and 120.24

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Solution

The fourth proportional to 293.45, 440.33 and 120.24 is: 180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.45 : 440.33 = 120.24 : x
  2. Step 2: Convert to fraction form
    293.45/440.33 = 120.24/x
  3. Step 3: Cross multiply
    293.45x = 440.33 × 120.24
  4. Step 4: Simplify right side
    293.45x = 52,944.68
  5. Step 5: Solve for x
    x = 52,944.68/293.45
  6. Step 6: Final answer
    x = 180.42

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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.