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Finding the Fourth Proportional to 263.23, 394.43 and 116.82

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Solution

The fourth proportional to 263.23, 394.43 and 116.82 is: 175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.23 : 394.43 = 116.82 : x
  2. Step 2: Convert to fraction form
    263.23/394.43 = 116.82/x
  3. Step 3: Cross multiply
    263.23x = 394.43 × 116.82
  4. Step 4: Simplify right side
    263.23x = 46,077.31
  5. Step 5: Solve for x
    x = 46,077.31/263.23
  6. Step 6: Final answer
    x = 175.05

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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.