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Finding the Fourth Proportional to 263.23, 394.66 and 126.17

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Solution

The fourth proportional to 263.23, 394.66 and 126.17 is: 189.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.23 : 394.66 = 126.17 : x
  2. Step 2: Convert to fraction form
    263.23/394.66 = 126.17/x
  3. Step 3: Cross multiply
    263.23x = 394.66 × 126.17
  4. Step 4: Simplify right side
    263.23x = 49,793.62
  5. Step 5: Solve for x
    x = 49,793.62/263.23
  6. Step 6: Final answer
    x = 189.16

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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.