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Finding the Fourth Proportional to 185.05, 276.88 and 114.44

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Solution

The fourth proportional to 185.05, 276.88 and 114.44 is: 171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.05 : 276.88 = 114.44 : x
  2. Step 2: Convert to fraction form
    185.05/276.88 = 114.44/x
  3. Step 3: Cross multiply
    185.05x = 276.88 × 114.44
  4. Step 4: Simplify right side
    185.05x = 31,686.15
  5. Step 5: Solve for x
    x = 31,686.15/185.05
  6. Step 6: Final answer
    x = 171.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.