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Finding the Fourth Proportional to 252.81, 348.96 and 164.31

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Solution

The fourth proportional to 252.81, 348.96 and 164.31 is: 226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.81 : 348.96 = 164.31 : x
  2. Step 2: Convert to fraction form
    252.81/348.96 = 164.31/x
  3. Step 3: Cross multiply
    252.81x = 348.96 × 164.31
  4. Step 4: Simplify right side
    252.81x = 57,337.62
  5. Step 5: Solve for x
    x = 57,337.62/252.81
  6. Step 6: Final answer
    x = 226.80

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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.