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Finding the Fourth Proportional to 164.78, 246.92 and 83.51

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Solution

The fourth proportional to 164.78, 246.92 and 83.51 is: 125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.78 : 246.92 = 83.51 : x
  2. Step 2: Convert to fraction form
    164.78/246.92 = 83.51/x
  3. Step 3: Cross multiply
    164.78x = 246.92 × 83.51
  4. Step 4: Simplify right side
    164.78x = 20,618.64
  5. Step 5: Solve for x
    x = 20,618.64/164.78
  6. Step 6: Final answer
    x = 125.13

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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.