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Finding the Fourth Proportional to 252.86, 379.30 and 79.56

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Solution

The fourth proportional to 252.86, 379.30 and 79.56 is: 119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.86 : 379.30 = 79.56 : x
  2. Step 2: Convert to fraction form
    252.86/379.30 = 79.56/x
  3. Step 3: Cross multiply
    252.86x = 379.30 × 79.56
  4. Step 4: Simplify right side
    252.86x = 30,174.81
  5. Step 5: Solve for x
    x = 30,174.81/252.86
  6. Step 6: Final answer
    x = 119.33

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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.