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Finding the Fourth Proportional to 173.19, 239.10 and 120.82

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Solution

The fourth proportional to 173.19, 239.10 and 120.82 is: 166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.19 : 239.10 = 120.82 : x
  2. Step 2: Convert to fraction form
    173.19/239.10 = 120.82/x
  3. Step 3: Cross multiply
    173.19x = 239.10 × 120.82
  4. Step 4: Simplify right side
    173.19x = 28,888.06
  5. Step 5: Solve for x
    x = 28,888.06/173.19
  6. Step 6: Final answer
    x = 166.80

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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.