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Finding the Fourth Proportional to 173.20, 238.40 and 131.68

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Solution

The fourth proportional to 173.20, 238.40 and 131.68 is: 181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.20 : 238.40 = 131.68 : x
  2. Step 2: Convert to fraction form
    173.20/238.40 = 131.68/x
  3. Step 3: Cross multiply
    173.20x = 238.40 × 131.68
  4. Step 4: Simplify right side
    173.20x = 31,392.51
  5. Step 5: Solve for x
    x = 31,392.51/173.20
  6. Step 6: Final answer
    x = 181.25

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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.