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Finding the Fourth Proportional to 252.45, 378.37 and 130.65

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Solution

The fourth proportional to 252.45, 378.37 and 130.65 is: 195.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.45 : 378.37 = 130.65 : x
  2. Step 2: Convert to fraction form
    252.45/378.37 = 130.65/x
  3. Step 3: Cross multiply
    252.45x = 378.37 × 130.65
  4. Step 4: Simplify right side
    252.45x = 49,431.50
  5. Step 5: Solve for x
    x = 49,431.50/252.45
  6. Step 6: Final answer
    x = 195.81

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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.