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Finding the Fourth Proportional to 164.94, 227.34 and 118.23

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Solution

The fourth proportional to 164.94, 227.34 and 118.23 is: 162.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.94 : 227.34 = 118.23 : x
  2. Step 2: Convert to fraction form
    164.94/227.34 = 118.23/x
  3. Step 3: Cross multiply
    164.94x = 227.34 × 118.23
  4. Step 4: Simplify right side
    164.94x = 26,878.41
  5. Step 5: Solve for x
    x = 26,878.41/164.94
  6. Step 6: Final answer
    x = 162.96

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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.