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Finding the Fourth Proportional to 185.52, 255.96 and 133.08

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Solution

The fourth proportional to 185.52, 255.96 and 133.08 is: 183.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.52 : 255.96 = 133.08 : x
  2. Step 2: Convert to fraction form
    185.52/255.96 = 133.08/x
  3. Step 3: Cross multiply
    185.52x = 255.96 × 133.08
  4. Step 4: Simplify right side
    185.52x = 34,063.16
  5. Step 5: Solve for x
    x = 34,063.16/185.52
  6. Step 6: Final answer
    x = 183.61

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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.