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Finding the Fourth Proportional to 164.44, 245.91 and 123.33

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Solution

The fourth proportional to 164.44, 245.91 and 123.33 is: 184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.44 : 245.91 = 123.33 : x
  2. Step 2: Convert to fraction form
    164.44/245.91 = 123.33/x
  3. Step 3: Cross multiply
    164.44x = 245.91 × 123.33
  4. Step 4: Simplify right side
    164.44x = 30,328.08
  5. Step 5: Solve for x
    x = 30,328.08/164.44
  6. Step 6: Final answer
    x = 184.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.