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Finding the Fourth Proportional to 252.11, 347.76 and 164.63

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Solution

The fourth proportional to 252.11, 347.76 and 164.63 is: 227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.11 : 347.76 = 164.63 : x
  2. Step 2: Convert to fraction form
    252.11/347.76 = 164.63/x
  3. Step 3: Cross multiply
    252.11x = 347.76 × 164.63
  4. Step 4: Simplify right side
    252.11x = 57,249.99
  5. Step 5: Solve for x
    x = 57,249.99/252.11
  6. Step 6: Final answer
    x = 227.09

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