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Finding the Fourth Proportional to 164.62, 246.76 and 113.09

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Solution

The fourth proportional to 164.62, 246.76 and 113.09 is: 169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.62 : 246.76 = 113.09 : x
  2. Step 2: Convert to fraction form
    164.62/246.76 = 113.09/x
  3. Step 3: Cross multiply
    164.62x = 246.76 × 113.09
  4. Step 4: Simplify right side
    164.62x = 27,906.42
  5. Step 5: Solve for x
    x = 27,906.42/164.62
  6. Step 6: Final answer
    x = 169.52

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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.