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Finding the Fourth Proportional to 252.14, 378.25 and 98.05

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Solution

The fourth proportional to 252.14, 378.25 and 98.05 is: 147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.14 : 378.25 = 98.05 : x
  2. Step 2: Convert to fraction form
    252.14/378.25 = 98.05/x
  3. Step 3: Cross multiply
    252.14x = 378.25 × 98.05
  4. Step 4: Simplify right side
    252.14x = 37,086.22
  5. Step 5: Solve for x
    x = 37,086.22/252.14
  6. Step 6: Final answer
    x = 147.09

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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.