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Finding the Fourth Proportional to 262.96, 394.68 and 166.84

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Solution

The fourth proportional to 262.96, 394.68 and 166.84 is: 250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.96 : 394.68 = 166.84 : x
  2. Step 2: Convert to fraction form
    262.96/394.68 = 166.84/x
  3. Step 3: Cross multiply
    262.96x = 394.68 × 166.84
  4. Step 4: Simplify right side
    262.96x = 65,848.41
  5. Step 5: Solve for x
    x = 65,848.41/262.96
  6. Step 6: Final answer
    x = 250.41

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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.