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Finding the Fourth Proportional to 252.09, 378.27 and 123.84

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Solution

The fourth proportional to 252.09, 378.27 and 123.84 is: 185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.09 : 378.27 = 123.84 : x
  2. Step 2: Convert to fraction form
    252.09/378.27 = 123.84/x
  3. Step 3: Cross multiply
    252.09x = 378.27 × 123.84
  4. Step 4: Simplify right side
    252.09x = 46,844.96
  5. Step 5: Solve for x
    x = 46,844.96/252.09
  6. Step 6: Final answer
    x = 185.83

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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.