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Finding the Fourth Proportional to 263.81, 396.05 and 170.96

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Solution

The fourth proportional to 263.81, 396.05 and 170.96 is: 256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.81 : 396.05 = 170.96 : x
  2. Step 2: Convert to fraction form
    263.81/396.05 = 170.96/x
  3. Step 3: Cross multiply
    263.81x = 396.05 × 170.96
  4. Step 4: Simplify right side
    263.81x = 67,708.22
  5. Step 5: Solve for x
    x = 67,708.22/263.81
  6. Step 6: Final answer
    x = 256.65

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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.