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Finding the Fourth Proportional to 171.60, 236.32 and 142.23

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Solution

The fourth proportional to 171.60, 236.32 and 142.23 is: 195.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.60 : 236.32 = 142.23 : x
  2. Step 2: Convert to fraction form
    171.60/236.32 = 142.23/x
  3. Step 3: Cross multiply
    171.60x = 236.32 × 142.23
  4. Step 4: Simplify right side
    171.60x = 33,611.79
  5. Step 5: Solve for x
    x = 33,611.79/171.60
  6. Step 6: Final answer
    x = 195.87

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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.