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Finding the Fourth Proportional to 173.42, 239.01 and 129.77

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Solution

The fourth proportional to 173.42, 239.01 and 129.77 is: 178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.42 : 239.01 = 129.77 : x
  2. Step 2: Convert to fraction form
    173.42/239.01 = 129.77/x
  3. Step 3: Cross multiply
    173.42x = 239.01 × 129.77
  4. Step 4: Simplify right side
    173.42x = 31,016.33
  5. Step 5: Solve for x
    x = 31,016.33/173.42
  6. Step 6: Final answer
    x = 178.85

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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.