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Finding the Fourth Proportional to 164.83, 227.38 and 109.50

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Solution

The fourth proportional to 164.83, 227.38 and 109.50 is: 151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.83 : 227.38 = 109.50 : x
  2. Step 2: Convert to fraction form
    164.83/227.38 = 109.50/x
  3. Step 3: Cross multiply
    164.83x = 227.38 × 109.50
  4. Step 4: Simplify right side
    164.83x = 24,896.97
  5. Step 5: Solve for x
    x = 24,896.97/164.83
  6. Step 6: Final answer
    x = 151.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.