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Finding the Fourth Proportional to 184.54, 275.30 and 171.44

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Solution

The fourth proportional to 184.54, 275.30 and 171.44 is: 255.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.54 : 275.30 = 171.44 : x
  2. Step 2: Convert to fraction form
    184.54/275.30 = 171.44/x
  3. Step 3: Cross multiply
    184.54x = 275.30 × 171.44
  4. Step 4: Simplify right side
    184.54x = 47,197.43
  5. Step 5: Solve for x
    x = 47,197.43/184.54
  6. Step 6: Final answer
    x = 255.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.