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Finding the Fourth Proportional to 184.71, 254.60 and 169.63

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Solution

The fourth proportional to 184.71, 254.60 and 169.63 is: 233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.71 : 254.60 = 169.63 : x
  2. Step 2: Convert to fraction form
    184.71/254.60 = 169.63/x
  3. Step 3: Cross multiply
    184.71x = 254.60 × 169.63
  4. Step 4: Simplify right side
    184.71x = 43,187.80
  5. Step 5: Solve for x
    x = 43,187.80/184.71
  6. Step 6: Final answer
    x = 233.81

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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.