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Finding the Fourth Proportional to 263.16, 394.62 and 126.27

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Solution

The fourth proportional to 263.16, 394.62 and 126.27 is: 189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.16 : 394.62 = 126.27 : x
  2. Step 2: Convert to fraction form
    263.16/394.62 = 126.27/x
  3. Step 3: Cross multiply
    263.16x = 394.62 × 126.27
  4. Step 4: Simplify right side
    263.16x = 49,828.67
  5. Step 5: Solve for x
    x = 49,828.67/263.16
  6. Step 6: Final answer
    x = 189.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.