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Finding the Fourth Proportional to 164.82, 246.78 and 83.49

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Solution

The fourth proportional to 164.82, 246.78 and 83.49 is: 125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.82 : 246.78 = 83.49 : x
  2. Step 2: Convert to fraction form
    164.82/246.78 = 83.49/x
  3. Step 3: Cross multiply
    164.82x = 246.78 × 83.49
  4. Step 4: Simplify right side
    164.82x = 20,604.27
  5. Step 5: Solve for x
    x = 20,604.27/164.82
  6. Step 6: Final answer
    x = 125.01

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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.