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Finding the Fourth Proportional to 263.03, 394.61 and 77.94

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Solution

The fourth proportional to 263.03, 394.61 and 77.94 is: 116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.03 : 394.61 = 77.94 : x
  2. Step 2: Convert to fraction form
    263.03/394.61 = 77.94/x
  3. Step 3: Cross multiply
    263.03x = 394.61 × 77.94
  4. Step 4: Simplify right side
    263.03x = 30,755.51
  5. Step 5: Solve for x
    x = 30,755.51/263.03
  6. Step 6: Final answer
    x = 116.93

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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.