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Finding the Fourth Proportional to 173.56, 239.72 and 118.20

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Solution

The fourth proportional to 173.56, 239.72 and 118.20 is: 163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.56 : 239.72 = 118.20 : x
  2. Step 2: Convert to fraction form
    173.56/239.72 = 118.20/x
  3. Step 3: Cross multiply
    173.56x = 239.72 × 118.20
  4. Step 4: Simplify right side
    173.56x = 28,334.90
  5. Step 5: Solve for x
    x = 28,334.90/173.56
  6. Step 6: Final answer
    x = 163.26

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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.