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Finding the Fourth Proportional to 168.36, 231.78 and 146.40

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Solution

The fourth proportional to 168.36, 231.78 and 146.40 is: 201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.36 : 231.78 = 146.40 : x
  2. Step 2: Convert to fraction form
    168.36/231.78 = 146.40/x
  3. Step 3: Cross multiply
    168.36x = 231.78 × 146.40
  4. Step 4: Simplify right side
    168.36x = 33,932.59
  5. Step 5: Solve for x
    x = 33,932.59/168.36
  6. Step 6: Final answer
    x = 201.55

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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.