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Finding the Fourth Proportional to 184.20, 252.83 and 176.28

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Solution

The fourth proportional to 184.20, 252.83 and 176.28 is: 241.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.20 : 252.83 = 176.28 : x
  2. Step 2: Convert to fraction form
    184.20/252.83 = 176.28/x
  3. Step 3: Cross multiply
    184.20x = 252.83 × 176.28
  4. Step 4: Simplify right side
    184.20x = 44,568.87
  5. Step 5: Solve for x
    x = 44,568.87/184.20
  6. Step 6: Final answer
    x = 241.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.