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Finding the Fourth Proportional to 252.36, 378.96 and 233.42

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Solution

The fourth proportional to 252.36, 378.96 and 233.42 is: 350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.36 : 378.96 = 233.42 : x
  2. Step 2: Convert to fraction form
    252.36/378.96 = 233.42/x
  3. Step 3: Cross multiply
    252.36x = 378.96 × 233.42
  4. Step 4: Simplify right side
    252.36x = 88,454.95
  5. Step 5: Solve for x
    x = 88,454.95/252.36
  6. Step 6: Final answer
    x = 350.51

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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.