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Finding the Fourth Proportional to 173.36, 239.16 and 129.20

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Solution

The fourth proportional to 173.36, 239.16 and 129.20 is: 178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.36 : 239.16 = 129.20 : x
  2. Step 2: Convert to fraction form
    173.36/239.16 = 129.20/x
  3. Step 3: Cross multiply
    173.36x = 239.16 × 129.20
  4. Step 4: Simplify right side
    173.36x = 30,899.47
  5. Step 5: Solve for x
    x = 30,899.47/173.36
  6. Step 6: Final answer
    x = 178.24

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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.