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Finding the Fourth Proportional to 252.09, 378.24 and 130.38

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Solution

The fourth proportional to 252.09, 378.24 and 130.38 is: 195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.09 : 378.24 = 130.38 : x
  2. Step 2: Convert to fraction form
    252.09/378.24 = 130.38/x
  3. Step 3: Cross multiply
    252.09x = 378.24 × 130.38
  4. Step 4: Simplify right side
    252.09x = 49,314.93
  5. Step 5: Solve for x
    x = 49,314.93/252.09
  6. Step 6: Final answer
    x = 195.62

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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.