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Finding the Fourth Proportional to 252.70, 378.65 and 130.78

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Solution

The fourth proportional to 252.70, 378.65 and 130.78 is: 195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.70 : 378.65 = 130.78 : x
  2. Step 2: Convert to fraction form
    252.70/378.65 = 130.78/x
  3. Step 3: Cross multiply
    252.70x = 378.65 × 130.78
  4. Step 4: Simplify right side
    252.70x = 49,519.85
  5. Step 5: Solve for x
    x = 49,519.85/252.70
  6. Step 6: Final answer
    x = 195.96

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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.