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Finding the Fourth Proportional to 185.40, 255.78 and 164.52

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Solution

The fourth proportional to 185.40, 255.78 and 164.52 is: 226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.40 : 255.78 = 164.52 : x
  2. Step 2: Convert to fraction form
    185.40/255.78 = 164.52/x
  3. Step 3: Cross multiply
    185.40x = 255.78 × 164.52
  4. Step 4: Simplify right side
    185.40x = 42,080.93
  5. Step 5: Solve for x
    x = 42,080.93/185.40
  6. Step 6: Final answer
    x = 226.97

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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.