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Finding the Fourth Proportional to 293.22, 439.83 and 76.78

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Solution

The fourth proportional to 293.22, 439.83 and 76.78 is: 115.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.22 : 439.83 = 76.78 : x
  2. Step 2: Convert to fraction form
    293.22/439.83 = 76.78/x
  3. Step 3: Cross multiply
    293.22x = 439.83 × 76.78
  4. Step 4: Simplify right side
    293.22x = 33,770.70
  5. Step 5: Solve for x
    x = 33,770.70/293.22
  6. Step 6: Final answer
    x = 115.17

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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.