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Finding the Fourth Proportional to 173.65, 239.20 and 134.77

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Solution

The fourth proportional to 173.65, 239.20 and 134.77 is: 185.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.65 : 239.20 = 134.77 : x
  2. Step 2: Convert to fraction form
    173.65/239.20 = 134.77/x
  3. Step 3: Cross multiply
    173.65x = 239.20 × 134.77
  4. Step 4: Simplify right side
    173.65x = 32,236.98
  5. Step 5: Solve for x
    x = 32,236.98/173.65
  6. Step 6: Final answer
    x = 185.64

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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.