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Finding the Fourth Proportional to 164.71, 227.60 and 118.23

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Solution

The fourth proportional to 164.71, 227.60 and 118.23 is: 163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.71 : 227.60 = 118.23 : x
  2. Step 2: Convert to fraction form
    164.71/227.60 = 118.23/x
  3. Step 3: Cross multiply
    164.71x = 227.60 × 118.23
  4. Step 4: Simplify right side
    164.71x = 26,909.15
  5. Step 5: Solve for x
    x = 26,909.15/164.71
  6. Step 6: Final answer
    x = 163.37

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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.