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Finding the Fourth Proportional to 252.01, 347.49 and 164.53

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Solution

The fourth proportional to 252.01, 347.49 and 164.53 is: 226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.01 : 347.49 = 164.53 : x
  2. Step 2: Convert to fraction form
    252.01/347.49 = 164.53/x
  3. Step 3: Cross multiply
    252.01x = 347.49 × 164.53
  4. Step 4: Simplify right side
    252.01x = 57,172.96
  5. Step 5: Solve for x
    x = 57,172.96/252.01
  6. Step 6: Final answer
    x = 226.87

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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.