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Finding the Fourth Proportional to 171.55, 236.82 and 119.38

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Solution

The fourth proportional to 171.55, 236.82 and 119.38 is: 164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.55 : 236.82 = 119.38 : x
  2. Step 2: Convert to fraction form
    171.55/236.82 = 119.38/x
  3. Step 3: Cross multiply
    171.55x = 236.82 × 119.38
  4. Step 4: Simplify right side
    171.55x = 28,271.57
  5. Step 5: Solve for x
    x = 28,271.57/171.55
  6. Step 6: Final answer
    x = 164.80

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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.