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Finding the Fourth Proportional to 171.78, 235.52 and 168.54

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Solution

The fourth proportional to 171.78, 235.52 and 168.54 is: 231.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.78 : 235.52 = 168.54 : x
  2. Step 2: Convert to fraction form
    171.78/235.52 = 168.54/x
  3. Step 3: Cross multiply
    171.78x = 235.52 × 168.54
  4. Step 4: Simplify right side
    171.78x = 39,693.70
  5. Step 5: Solve for x
    x = 39,693.70/171.78
  6. Step 6: Final answer
    x = 231.07

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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.