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Finding the Fourth Proportional to 185.42, 255.93 and 130.25

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Solution

The fourth proportional to 185.42, 255.93 and 130.25 is: 179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.42 : 255.93 = 130.25 : x
  2. Step 2: Convert to fraction form
    185.42/255.93 = 130.25/x
  3. Step 3: Cross multiply
    185.42x = 255.93 × 130.25
  4. Step 4: Simplify right side
    185.42x = 33,334.88
  5. Step 5: Solve for x
    x = 33,334.88/185.42
  6. Step 6: Final answer
    x = 179.78

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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.