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Finding the Fourth Proportional to 164.41, 226.32 and 149.71

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Solution

The fourth proportional to 164.41, 226.32 and 149.71 is: 206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.41 : 226.32 = 149.71 : x
  2. Step 2: Convert to fraction form
    164.41/226.32 = 149.71/x
  3. Step 3: Cross multiply
    164.41x = 226.32 × 149.71
  4. Step 4: Simplify right side
    164.41x = 33,881.62
  5. Step 5: Solve for x
    x = 33,881.62/164.41
  6. Step 6: Final answer
    x = 206.09

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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.