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Finding the Fourth Proportional to 252.63, 378.34 and 144.09

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Solution

The fourth proportional to 252.63, 378.34 and 144.09 is: 215.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.63 : 378.34 = 144.09 : x
  2. Step 2: Convert to fraction form
    252.63/378.34 = 144.09/x
  3. Step 3: Cross multiply
    252.63x = 378.34 × 144.09
  4. Step 4: Simplify right side
    252.63x = 54,514.65
  5. Step 5: Solve for x
    x = 54,514.65/252.63
  6. Step 6: Final answer
    x = 215.79

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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.