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Finding the Fourth Proportional to 164.96, 227.05 and 137.01

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Solution

The fourth proportional to 164.96, 227.05 and 137.01 is: 188.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.96 : 227.05 = 137.01 : x
  2. Step 2: Convert to fraction form
    164.96/227.05 = 137.01/x
  3. Step 3: Cross multiply
    164.96x = 227.05 × 137.01
  4. Step 4: Simplify right side
    164.96x = 31,107.44
  5. Step 5: Solve for x
    x = 31,107.44/164.96
  6. Step 6: Final answer
    x = 188.58

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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.