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Finding the Fourth Proportional to 251.56, 346.92 and 164.20

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Solution

The fourth proportional to 251.56, 346.92 and 164.20 is: 226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.56 : 346.92 = 164.20 : x
  2. Step 2: Convert to fraction form
    251.56/346.92 = 164.20/x
  3. Step 3: Cross multiply
    251.56x = 346.92 × 164.20
  4. Step 4: Simplify right side
    251.56x = 56,964.26
  5. Step 5: Solve for x
    x = 56,964.26/251.56
  6. Step 6: Final answer
    x = 226.44

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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.