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Finding the Fourth Proportional to 164.50, 246.57 and 82.12

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Solution

The fourth proportional to 164.50, 246.57 and 82.12 is: 123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.50 : 246.57 = 82.12 : x
  2. Step 2: Convert to fraction form
    164.50/246.57 = 82.12/x
  3. Step 3: Cross multiply
    164.50x = 246.57 × 82.12
  4. Step 4: Simplify right side
    164.50x = 20,248.33
  5. Step 5: Solve for x
    x = 20,248.33/164.50
  6. Step 6: Final answer
    x = 123.09

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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.