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Finding the Fourth Proportional to 173.67, 239.72 and 107.30

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Solution

The fourth proportional to 173.67, 239.72 and 107.30 is: 148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.67 : 239.72 = 107.30 : x
  2. Step 2: Convert to fraction form
    173.67/239.72 = 107.30/x
  3. Step 3: Cross multiply
    173.67x = 239.72 × 107.30
  4. Step 4: Simplify right side
    173.67x = 25,721.42
  5. Step 5: Solve for x
    x = 25,721.42/173.67
  6. Step 6: Final answer
    x = 148.11

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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.