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Finding the Fourth Proportional to 185.42, 255.90 and 120.02

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Solution

The fourth proportional to 185.42, 255.90 and 120.02 is: 165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.42 : 255.90 = 120.02 : x
  2. Step 2: Convert to fraction form
    185.42/255.90 = 120.02/x
  3. Step 3: Cross multiply
    185.42x = 255.90 × 120.02
  4. Step 4: Simplify right side
    185.42x = 30,713.12
  5. Step 5: Solve for x
    x = 30,713.12/185.42
  6. Step 6: Final answer
    x = 165.64

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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.