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Finding the Fourth Proportional to 252.09, 378.14 and 105.86

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Solution

The fourth proportional to 252.09, 378.14 and 105.86 is: 158.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.09 : 378.14 = 105.86 : x
  2. Step 2: Convert to fraction form
    252.09/378.14 = 105.86/x
  3. Step 3: Cross multiply
    252.09x = 378.14 × 105.86
  4. Step 4: Simplify right side
    252.09x = 40,030.32
  5. Step 5: Solve for x
    x = 40,030.32/252.09
  6. Step 6: Final answer
    x = 158.79

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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.