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Finding the Fourth Proportional to 164.33, 226.82 and 109.16

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Solution

The fourth proportional to 164.33, 226.82 and 109.16 is: 150.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.33 : 226.82 = 109.16 : x
  2. Step 2: Convert to fraction form
    164.33/226.82 = 109.16/x
  3. Step 3: Cross multiply
    164.33x = 226.82 × 109.16
  4. Step 4: Simplify right side
    164.33x = 24,759.67
  5. Step 5: Solve for x
    x = 24,759.67/164.33
  6. Step 6: Final answer
    x = 150.67

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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.