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Finding the Fourth Proportional to 252.25, 378.41 and 115.34

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Solution

The fourth proportional to 252.25, 378.41 and 115.34 is: 173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.25 : 378.41 = 115.34 : x
  2. Step 2: Convert to fraction form
    252.25/378.41 = 115.34/x
  3. Step 3: Cross multiply
    252.25x = 378.41 × 115.34
  4. Step 4: Simplify right side
    252.25x = 43,643.34
  5. Step 5: Solve for x
    x = 43,643.34/252.25
  6. Step 6: Final answer
    x = 173.02

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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.