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Finding the Fourth Proportional to 252.67, 379.28 and 184.23

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Solution

The fourth proportional to 252.67, 379.28 and 184.23 is: 276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.67 : 379.28 = 184.23 : x
  2. Step 2: Convert to fraction form
    252.67/379.28 = 184.23/x
  3. Step 3: Cross multiply
    252.67x = 379.28 × 184.23
  4. Step 4: Simplify right side
    252.67x = 69,874.75
  5. Step 5: Solve for x
    x = 69,874.75/252.67
  6. Step 6: Final answer
    x = 276.55

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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.