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Finding the Fourth Proportional to 185.73, 256.30 and 102.80

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Solution

The fourth proportional to 185.73, 256.30 and 102.80 is: 141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.73 : 256.30 = 102.80 : x
  2. Step 2: Convert to fraction form
    185.73/256.30 = 102.80/x
  3. Step 3: Cross multiply
    185.73x = 256.30 × 102.80
  4. Step 4: Simplify right side
    185.73x = 26,348.02
  5. Step 5: Solve for x
    x = 26,348.02/185.73
  6. Step 6: Final answer
    x = 141.86

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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.