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Finding the Fourth Proportional to 171.47, 236.89 and 138.67

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Solution

The fourth proportional to 171.47, 236.89 and 138.67 is: 191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.47 : 236.89 = 138.67 : x
  2. Step 2: Convert to fraction form
    171.47/236.89 = 138.67/x
  3. Step 3: Cross multiply
    171.47x = 236.89 × 138.67
  4. Step 4: Simplify right side
    171.47x = 32,849.54
  5. Step 5: Solve for x
    x = 32,849.54/171.47
  6. Step 6: Final answer
    x = 191.58

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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.