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Finding the Fourth Proportional to 184.56, 253.04 and 181.28

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Solution

The fourth proportional to 184.56, 253.04 and 181.28 is: 248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.56 : 253.04 = 181.28 : x
  2. Step 2: Convert to fraction form
    184.56/253.04 = 181.28/x
  3. Step 3: Cross multiply
    184.56x = 253.04 × 181.28
  4. Step 4: Simplify right side
    184.56x = 45,871.09
  5. Step 5: Solve for x
    x = 45,871.09/184.56
  6. Step 6: Final answer
    x = 248.54

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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.