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Finding the Fourth Proportional to 192.39, 265.14 and 164.40

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Solution

The fourth proportional to 192.39, 265.14 and 164.40 is: 226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.39 : 265.14 = 164.40 : x
  2. Step 2: Convert to fraction form
    192.39/265.14 = 164.40/x
  3. Step 3: Cross multiply
    192.39x = 265.14 × 164.40
  4. Step 4: Simplify right side
    192.39x = 43,589.02
  5. Step 5: Solve for x
    x = 43,589.02/192.39
  6. Step 6: Final answer
    x = 226.57

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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.