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Finding the Fourth Proportional to 184.27, 254.27 and 114.43

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Solution

The fourth proportional to 184.27, 254.27 and 114.43 is: 157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.27 : 254.27 = 114.43 : x
  2. Step 2: Convert to fraction form
    184.27/254.27 = 114.43/x
  3. Step 3: Cross multiply
    184.27x = 254.27 × 114.43
  4. Step 4: Simplify right side
    184.27x = 29,096.12
  5. Step 5: Solve for x
    x = 29,096.12/184.27
  6. Step 6: Final answer
    x = 157.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.