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Finding the Fourth Proportional to 185.60, 255.06 and 150.56

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Solution

The fourth proportional to 185.60, 255.06 and 150.56 is: 206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.60 : 255.06 = 150.56 : x
  2. Step 2: Convert to fraction form
    185.60/255.06 = 150.56/x
  3. Step 3: Cross multiply
    185.60x = 255.06 × 150.56
  4. Step 4: Simplify right side
    185.60x = 38,401.73
  5. Step 5: Solve for x
    x = 38,401.73/185.60
  6. Step 6: Final answer
    x = 206.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.