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Finding the Fourth Proportional to 293.77, 440.69 and 120.40

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Solution

The fourth proportional to 293.77, 440.69 and 120.40 is: 180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.77 : 440.69 = 120.40 : x
  2. Step 2: Convert to fraction form
    293.77/440.69 = 120.40/x
  3. Step 3: Cross multiply
    293.77x = 440.69 × 120.40
  4. Step 4: Simplify right side
    293.77x = 53,059.08
  5. Step 5: Solve for x
    x = 53,059.08/293.77
  6. Step 6: Final answer
    x = 180.61

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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.