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Finding the Fourth Proportional to 173.80, 239.94 and 136.48

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Solution

The fourth proportional to 173.80, 239.94 and 136.48 is: 188.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.80 : 239.94 = 136.48 : x
  2. Step 2: Convert to fraction form
    173.80/239.94 = 136.48/x
  3. Step 3: Cross multiply
    173.80x = 239.94 × 136.48
  4. Step 4: Simplify right side
    173.80x = 32,747.01
  5. Step 5: Solve for x
    x = 32,747.01/173.80
  6. Step 6: Final answer
    x = 188.42

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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.