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Finding the Fourth Proportional to 185.02, 255.50 and 119.64

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Solution

The fourth proportional to 185.02, 255.50 and 119.64 is: 165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.02 : 255.50 = 119.64 : x
  2. Step 2: Convert to fraction form
    185.02/255.50 = 119.64/x
  3. Step 3: Cross multiply
    185.02x = 255.50 × 119.64
  4. Step 4: Simplify right side
    185.02x = 30,568.02
  5. Step 5: Solve for x
    x = 30,568.02/185.02
  6. Step 6: Final answer
    x = 165.21

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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.