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Finding the Fourth Proportional to 164.47, 226.04 and 133.33

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Solution

The fourth proportional to 164.47, 226.04 and 133.33 is: 183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.47 : 226.04 = 133.33 : x
  2. Step 2: Convert to fraction form
    164.47/226.04 = 133.33/x
  3. Step 3: Cross multiply
    164.47x = 226.04 × 133.33
  4. Step 4: Simplify right side
    164.47x = 30,137.91
  5. Step 5: Solve for x
    x = 30,137.91/164.47
  6. Step 6: Final answer
    x = 183.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.