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Finding the Fourth Proportional to 184.80, 255.60 and 163.20

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Solution

The fourth proportional to 184.80, 255.60 and 163.20 is: 225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.80 : 255.60 = 163.20 : x
  2. Step 2: Convert to fraction form
    184.80/255.60 = 163.20/x
  3. Step 3: Cross multiply
    184.80x = 255.60 × 163.20
  4. Step 4: Simplify right side
    184.80x = 41,713.92
  5. Step 5: Solve for x
    x = 41,713.92/184.80
  6. Step 6: Final answer
    x = 225.72

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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.