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Finding the Fourth Proportional to 252.14, 347.76 and 189.97

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Solution

The fourth proportional to 252.14, 347.76 and 189.97 is: 262.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.14 : 347.76 = 189.97 : x
  2. Step 2: Convert to fraction form
    252.14/347.76 = 189.97/x
  3. Step 3: Cross multiply
    252.14x = 347.76 × 189.97
  4. Step 4: Simplify right side
    252.14x = 66,063.10
  5. Step 5: Solve for x
    x = 66,063.10/252.14
  6. Step 6: Final answer
    x = 262.01

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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.