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Finding the Fourth Proportional to 252.08, 374.96 and 231.44

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Solution

The fourth proportional to 252.08, 374.96 and 231.44 is: 344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.08 : 374.96 = 231.44 : x
  2. Step 2: Convert to fraction form
    252.08/374.96 = 231.44/x
  3. Step 3: Cross multiply
    252.08x = 374.96 × 231.44
  4. Step 4: Simplify right side
    252.08x = 86,780.74
  5. Step 5: Solve for x
    x = 86,780.74/252.08
  6. Step 6: Final answer
    x = 344.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.