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Finding the Fourth Proportional to 263.32, 394.95 and 70.96

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Solution

The fourth proportional to 263.32, 394.95 and 70.96 is: 106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.32 : 394.95 = 70.96 : x
  2. Step 2: Convert to fraction form
    263.32/394.95 = 70.96/x
  3. Step 3: Cross multiply
    263.32x = 394.95 × 70.96
  4. Step 4: Simplify right side
    263.32x = 28,025.65
  5. Step 5: Solve for x
    x = 28,025.65/263.32
  6. Step 6: Final answer
    x = 106.43

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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.