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Finding the Fourth Proportional to 252.70, 349.08 and 195.22

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Solution

The fourth proportional to 252.70, 349.08 and 195.22 is: 269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.70 : 349.08 = 195.22 : x
  2. Step 2: Convert to fraction form
    252.70/349.08 = 195.22/x
  3. Step 3: Cross multiply
    252.70x = 349.08 × 195.22
  4. Step 4: Simplify right side
    252.70x = 68,147.40
  5. Step 5: Solve for x
    x = 68,147.40/252.70
  6. Step 6: Final answer
    x = 269.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.