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Finding the Fourth Proportional to 164.69, 227.24 and 98.33

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Solution

The fourth proportional to 164.69, 227.24 and 98.33 is: 135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.69 : 227.24 = 98.33 : x
  2. Step 2: Convert to fraction form
    164.69/227.24 = 98.33/x
  3. Step 3: Cross multiply
    164.69x = 227.24 × 98.33
  4. Step 4: Simplify right side
    164.69x = 22,344.51
  5. Step 5: Solve for x
    x = 22,344.51/164.69
  6. Step 6: Final answer
    x = 135.68

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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.