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Finding the Fourth Proportional to 184.88, 255.38 and 171.92

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Solution

The fourth proportional to 184.88, 255.38 and 171.92 is: 237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.88 : 255.38 = 171.92 : x
  2. Step 2: Convert to fraction form
    184.88/255.38 = 171.92/x
  3. Step 3: Cross multiply
    184.88x = 255.38 × 171.92
  4. Step 4: Simplify right side
    184.88x = 43,904.93
  5. Step 5: Solve for x
    x = 43,904.93/184.88
  6. Step 6: Final answer
    x = 237.48

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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.