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Finding the Fourth Proportional to 185.76, 256.40 and 161.44

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Solution

The fourth proportional to 185.76, 256.40 and 161.44 is: 222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.76 : 256.40 = 161.44 : x
  2. Step 2: Convert to fraction form
    185.76/256.40 = 161.44/x
  3. Step 3: Cross multiply
    185.76x = 256.40 × 161.44
  4. Step 4: Simplify right side
    185.76x = 41,393.22
  5. Step 5: Solve for x
    x = 41,393.22/185.76
  6. Step 6: Final answer
    x = 222.83

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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.