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Finding the Fourth Proportional to 184.41, 254.60 and 164.70

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Solution

The fourth proportional to 184.41, 254.60 and 164.70 is: 227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.41 : 254.60 = 164.70 : x
  2. Step 2: Convert to fraction form
    184.41/254.60 = 164.70/x
  3. Step 3: Cross multiply
    184.41x = 254.60 × 164.70
  4. Step 4: Simplify right side
    184.41x = 41,932.62
  5. Step 5: Solve for x
    x = 41,932.62/184.41
  6. Step 6: Final answer
    x = 227.39

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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.