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Finding the Fourth Proportional to 185.14, 255.82 and 132.59

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Solution

The fourth proportional to 185.14, 255.82 and 132.59 is: 183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.14 : 255.82 = 132.59 : x
  2. Step 2: Convert to fraction form
    185.14/255.82 = 132.59/x
  3. Step 3: Cross multiply
    185.14x = 255.82 × 132.59
  4. Step 4: Simplify right side
    185.14x = 33,919.17
  5. Step 5: Solve for x
    x = 33,919.17/185.14
  6. Step 6: Final answer
    x = 183.21

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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.