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Finding the Fourth Proportional to 184.56, 255 and 140.46

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Solution

The fourth proportional to 184.56, 255 and 140.46 is: 194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.56 : 255 = 140.46 : x
  2. Step 2: Convert to fraction form
    184.56/255 = 140.46/x
  3. Step 3: Cross multiply
    184.56x = 255 × 140.46
  4. Step 4: Simplify right side
    184.56x = 35,817.30
  5. Step 5: Solve for x
    x = 35,817.30/184.56
  6. Step 6: Final answer
    x = 194.07

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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.