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Finding the Fourth Proportional to 252.54, 376.58 and 235.24

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Solution

The fourth proportional to 252.54, 376.58 and 235.24 is: 350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.54 : 376.58 = 235.24 : x
  2. Step 2: Convert to fraction form
    252.54/376.58 = 235.24/x
  3. Step 3: Cross multiply
    252.54x = 376.58 × 235.24
  4. Step 4: Simplify right side
    252.54x = 88,586.68
  5. Step 5: Solve for x
    x = 88,586.68/252.54
  6. Step 6: Final answer
    x = 350.78

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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.