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Finding the Fourth Proportional to 252.15, 378.21 and 78.81

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Solution

The fourth proportional to 252.15, 378.21 and 78.81 is: 118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.15 : 378.21 = 78.81 : x
  2. Step 2: Convert to fraction form
    252.15/378.21 = 78.81/x
  3. Step 3: Cross multiply
    252.15x = 378.21 × 78.81
  4. Step 4: Simplify right side
    252.15x = 29,806.73
  5. Step 5: Solve for x
    x = 29,806.73/252.15
  6. Step 6: Final answer
    x = 118.21

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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.