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Finding the Fourth Proportional to 184.92, 255.24 and 126.80

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Solution

The fourth proportional to 184.92, 255.24 and 126.80 is: 175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.92 : 255.24 = 126.80 : x
  2. Step 2: Convert to fraction form
    184.92/255.24 = 126.80/x
  3. Step 3: Cross multiply
    184.92x = 255.24 × 126.80
  4. Step 4: Simplify right side
    184.92x = 32,364.43
  5. Step 5: Solve for x
    x = 32,364.43/184.92
  6. Step 6: Final answer
    x = 175.02

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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.