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Finding the Fourth Proportional to 173.88, 239.94 and 165.78

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Solution

The fourth proportional to 173.88, 239.94 and 165.78 is: 228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.88 : 239.94 = 165.78 : x
  2. Step 2: Convert to fraction form
    173.88/239.94 = 165.78/x
  3. Step 3: Cross multiply
    173.88x = 239.94 × 165.78
  4. Step 4: Simplify right side
    173.88x = 39,777.25
  5. Step 5: Solve for x
    x = 39,777.25/173.88
  6. Step 6: Final answer
    x = 228.76

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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.