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Finding the Fourth Proportional to 173.03, 238.72 and 107.46

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Solution

The fourth proportional to 173.03, 238.72 and 107.46 is: 148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.03 : 238.72 = 107.46 : x
  2. Step 2: Convert to fraction form
    173.03/238.72 = 107.46/x
  3. Step 3: Cross multiply
    173.03x = 238.72 × 107.46
  4. Step 4: Simplify right side
    173.03x = 25,652.85
  5. Step 5: Solve for x
    x = 25,652.85/173.03
  6. Step 6: Final answer
    x = 148.26

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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.