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Finding the Fourth Proportional to 184.36, 252.92 and 180.28

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Solution

The fourth proportional to 184.36, 252.92 and 180.28 is: 247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.36 : 252.92 = 180.28 : x
  2. Step 2: Convert to fraction form
    184.36/252.92 = 180.28/x
  3. Step 3: Cross multiply
    184.36x = 252.92 × 180.28
  4. Step 4: Simplify right side
    184.36x = 45,596.42
  5. Step 5: Solve for x
    x = 45,596.42/184.36
  6. Step 6: Final answer
    x = 247.32

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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.