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Finding the Fourth Proportional to 184.32, 252.96 and 181.12

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Solution

The fourth proportional to 184.32, 252.96 and 181.12 is: 248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.32 : 252.96 = 181.12 : x
  2. Step 2: Convert to fraction form
    184.32/252.96 = 181.12/x
  3. Step 3: Cross multiply
    184.32x = 252.96 × 181.12
  4. Step 4: Simplify right side
    184.32x = 45,816.12
  5. Step 5: Solve for x
    x = 45,816.12/184.32
  6. Step 6: Final answer
    x = 248.57

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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.