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Finding the Fourth Proportional to 173.77, 239.41 and 115.45

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Solution

The fourth proportional to 173.77, 239.41 and 115.45 is: 159.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.77 : 239.41 = 115.45 : x
  2. Step 2: Convert to fraction form
    173.77/239.41 = 115.45/x
  3. Step 3: Cross multiply
    173.77x = 239.41 × 115.45
  4. Step 4: Simplify right side
    173.77x = 27,639.88
  5. Step 5: Solve for x
    x = 27,639.88/173.77
  6. Step 6: Final answer
    x = 159.06

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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.