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Finding the Fourth Proportional to 185.14, 255.69 and 164.78

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Solution

The fourth proportional to 185.14, 255.69 and 164.78 is: 227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.14 : 255.69 = 164.78 : x
  2. Step 2: Convert to fraction form
    185.14/255.69 = 164.78/x
  3. Step 3: Cross multiply
    185.14x = 255.69 × 164.78
  4. Step 4: Simplify right side
    185.14x = 42,130.50
  5. Step 5: Solve for x
    x = 42,130.50/185.14
  6. Step 6: Final answer
    x = 227.57

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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.