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Finding the Fourth Proportional to 293.94, 440.94 and 120.62

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Solution

The fourth proportional to 293.94, 440.94 and 120.62 is: 180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.94 : 440.94 = 120.62 : x
  2. Step 2: Convert to fraction form
    293.94/440.94 = 120.62/x
  3. Step 3: Cross multiply
    293.94x = 440.94 × 120.62
  4. Step 4: Simplify right side
    293.94x = 53,187.74
  5. Step 5: Solve for x
    x = 53,187.74/293.94
  6. Step 6: Final answer
    x = 180.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.