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Finding the Fourth Proportional to 171, 236.10 and 119.16

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Solution

The fourth proportional to 171, 236.10 and 119.16 is: 164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171 : 236.10 = 119.16 : x
  2. Step 2: Convert to fraction form
    171/236.10 = 119.16/x
  3. Step 3: Cross multiply
    171x = 236.10 × 119.16
  4. Step 4: Simplify right side
    171x = 28,133.68
  5. Step 5: Solve for x
    x = 28,133.68/171
  6. Step 6: Final answer
    x = 164.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.