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Finding the Fourth Proportional to 252.27, 378.21 and 115.14

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Solution

The fourth proportional to 252.27, 378.21 and 115.14 is: 172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.27 : 378.21 = 115.14 : x
  2. Step 2: Convert to fraction form
    252.27/378.21 = 115.14/x
  3. Step 3: Cross multiply
    252.27x = 378.21 × 115.14
  4. Step 4: Simplify right side
    252.27x = 43,547.10
  5. Step 5: Solve for x
    x = 43,547.10/252.27
  6. Step 6: Final answer
    x = 172.62

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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.