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Finding the Fourth Proportional to 171.64, 236.82 and 138.83

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Solution

The fourth proportional to 171.64, 236.82 and 138.83 is: 191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.64 : 236.82 = 138.83 : x
  2. Step 2: Convert to fraction form
    171.64/236.82 = 138.83/x
  3. Step 3: Cross multiply
    171.64x = 236.82 × 138.83
  4. Step 4: Simplify right side
    171.64x = 32,878.39
  5. Step 5: Solve for x
    x = 32,878.39/171.64
  6. Step 6: Final answer
    x = 191.56

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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.