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Finding the Fourth Proportional to 171.30, 236.06 and 119.46

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Solution

The fourth proportional to 171.30, 236.06 and 119.46 is: 164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.30 : 236.06 = 119.46 : x
  2. Step 2: Convert to fraction form
    171.30/236.06 = 119.46/x
  3. Step 3: Cross multiply
    171.30x = 236.06 × 119.46
  4. Step 4: Simplify right side
    171.30x = 28,199.73
  5. Step 5: Solve for x
    x = 28,199.73/171.30
  6. Step 6: Final answer
    x = 164.62

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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.