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Finding the Fourth Proportional to 252.08, 378.12 and 130.26

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Solution

The fourth proportional to 252.08, 378.12 and 130.26 is: 195.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.08 : 378.12 = 130.26 : x
  2. Step 2: Convert to fraction form
    252.08/378.12 = 130.26/x
  3. Step 3: Cross multiply
    252.08x = 378.12 × 130.26
  4. Step 4: Simplify right side
    252.08x = 49,253.91
  5. Step 5: Solve for x
    x = 49,253.91/252.08
  6. Step 6: Final answer
    x = 195.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.