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Finding the Fourth Proportional to 173.13, 238.91 and 131.71

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Solution

The fourth proportional to 173.13, 238.91 and 131.71 is: 181.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.13 : 238.91 = 131.71 : x
  2. Step 2: Convert to fraction form
    173.13/238.91 = 131.71/x
  3. Step 3: Cross multiply
    173.13x = 238.91 × 131.71
  4. Step 4: Simplify right side
    173.13x = 31,466.84
  5. Step 5: Solve for x
    x = 31,466.84/173.13
  6. Step 6: Final answer
    x = 181.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.