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Finding the Fourth Proportional to 252.80, 378.86 and 130.82

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Solution

The fourth proportional to 252.80, 378.86 and 130.82 is: 196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.80 : 378.86 = 130.82 : x
  2. Step 2: Convert to fraction form
    252.80/378.86 = 130.82/x
  3. Step 3: Cross multiply
    252.80x = 378.86 × 130.82
  4. Step 4: Simplify right side
    252.80x = 49,559.92
  5. Step 5: Solve for x
    x = 49,559.92/252.80
  6. Step 6: Final answer
    x = 196.04

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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.