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Finding the Fourth Proportional to 252.13, 378.06 and 115.12

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Solution

The fourth proportional to 252.13, 378.06 and 115.12 is: 172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.13 : 378.06 = 115.12 : x
  2. Step 2: Convert to fraction form
    252.13/378.06 = 115.12/x
  3. Step 3: Cross multiply
    252.13x = 378.06 × 115.12
  4. Step 4: Simplify right side
    252.13x = 43,522.27
  5. Step 5: Solve for x
    x = 43,522.27/252.13
  6. Step 6: Final answer
    x = 172.62

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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.