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Finding the Fourth Proportional to 173.96, 239.86 and 144.52

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Solution

The fourth proportional to 173.96, 239.86 and 144.52 is: 199.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.96 : 239.86 = 144.52 : x
  2. Step 2: Convert to fraction form
    173.96/239.86 = 144.52/x
  3. Step 3: Cross multiply
    173.96x = 239.86 × 144.52
  4. Step 4: Simplify right side
    173.96x = 34,664.57
  5. Step 5: Solve for x
    x = 34,664.57/173.96
  6. Step 6: Final answer
    x = 199.27

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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.