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Finding the Fourth Proportional to 252.26, 378.39 and 138.98

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Solution

The fourth proportional to 252.26, 378.39 and 138.98 is: 208.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.26 : 378.39 = 138.98 : x
  2. Step 2: Convert to fraction form
    252.26/378.39 = 138.98/x
  3. Step 3: Cross multiply
    252.26x = 378.39 × 138.98
  4. Step 4: Simplify right side
    252.26x = 52,588.64
  5. Step 5: Solve for x
    x = 52,588.64/252.26
  6. Step 6: Final answer
    x = 208.47

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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.