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Finding the Fourth Proportional to 184.44, 255.72 and 177.60

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Solution

The fourth proportional to 184.44, 255.72 and 177.60 is: 246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.44 : 255.72 = 177.60 : x
  2. Step 2: Convert to fraction form
    184.44/255.72 = 177.60/x
  3. Step 3: Cross multiply
    184.44x = 255.72 × 177.60
  4. Step 4: Simplify right side
    184.44x = 45,415.87
  5. Step 5: Solve for x
    x = 45,415.87/184.44
  6. Step 6: Final answer
    x = 246.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.