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Finding the Fourth Proportional to 251.72, 347.24 and 164.30

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Solution

The fourth proportional to 251.72, 347.24 and 164.30 is: 226.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.72 : 347.24 = 164.30 : x
  2. Step 2: Convert to fraction form
    251.72/347.24 = 164.30/x
  3. Step 3: Cross multiply
    251.72x = 347.24 × 164.30
  4. Step 4: Simplify right side
    251.72x = 57,051.53
  5. Step 5: Solve for x
    x = 57,051.53/251.72
  6. Step 6: Final answer
    x = 226.65

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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.