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Finding the Fourth Proportional to 173.50, 239.33 and 120.95

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Solution

The fourth proportional to 173.50, 239.33 and 120.95 is: 166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.50 : 239.33 = 120.95 : x
  2. Step 2: Convert to fraction form
    173.50/239.33 = 120.95/x
  3. Step 3: Cross multiply
    173.50x = 239.33 × 120.95
  4. Step 4: Simplify right side
    173.50x = 28,946.96
  5. Step 5: Solve for x
    x = 28,946.96/173.50
  6. Step 6: Final answer
    x = 166.84

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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.