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Finding the Fourth Proportional to 185.76, 255.96 and 171.18

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Solution

The fourth proportional to 185.76, 255.96 and 171.18 is: 235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.76 : 255.96 = 171.18 : x
  2. Step 2: Convert to fraction form
    185.76/255.96 = 171.18/x
  3. Step 3: Cross multiply
    185.76x = 255.96 × 171.18
  4. Step 4: Simplify right side
    185.76x = 43,815.23
  5. Step 5: Solve for x
    x = 43,815.23/185.76
  6. Step 6: Final answer
    x = 235.87

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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.