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Finding the Fourth Proportional to 185.32, 255.77 and 130.14

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Solution

The fourth proportional to 185.32, 255.77 and 130.14 is: 179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.32 : 255.77 = 130.14 : x
  2. Step 2: Convert to fraction form
    185.32/255.77 = 130.14/x
  3. Step 3: Cross multiply
    185.32x = 255.77 × 130.14
  4. Step 4: Simplify right side
    185.32x = 33,283.98
  5. Step 5: Solve for x
    x = 33,283.98/185.32
  6. Step 6: Final answer
    x = 179.61

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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.