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Finding the Fourth Proportional to 164.24, 226.40 and 138

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Solution

The fourth proportional to 164.24, 226.40 and 138 is: 190.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.24 : 226.40 = 138 : x
  2. Step 2: Convert to fraction form
    164.24/226.40 = 138/x
  3. Step 3: Cross multiply
    164.24x = 226.40 × 138
  4. Step 4: Simplify right side
    164.24x = 31,243.20
  5. Step 5: Solve for x
    x = 31,243.20/164.24
  6. Step 6: Final answer
    x = 190.23

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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.