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Finding the Fourth Proportional to 251.60, 347.22 and 164.24

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Solution

The fourth proportional to 251.60, 347.22 and 164.24 is: 226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.60 : 347.22 = 164.24 : x
  2. Step 2: Convert to fraction form
    251.60/347.22 = 164.24/x
  3. Step 3: Cross multiply
    251.60x = 347.22 × 164.24
  4. Step 4: Simplify right side
    251.60x = 57,027.41
  5. Step 5: Solve for x
    x = 57,027.41/251.60
  6. Step 6: Final answer
    x = 226.66

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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.