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Finding the Fourth Proportional to 252.62, 378.86 and 98.49

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Solution

The fourth proportional to 252.62, 378.86 and 98.49 is: 147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.62 : 378.86 = 98.49 : x
  2. Step 2: Convert to fraction form
    252.62/378.86 = 98.49/x
  3. Step 3: Cross multiply
    252.62x = 378.86 × 98.49
  4. Step 4: Simplify right side
    252.62x = 37,313.43
  5. Step 5: Solve for x
    x = 37,313.43/252.62
  6. Step 6: Final answer
    x = 147.71

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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.