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Finding the Fourth Proportional to 251.74, 347.39 and 164.40

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Solution

The fourth proportional to 251.74, 347.39 and 164.40 is: 226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.74 : 347.39 = 164.40 : x
  2. Step 2: Convert to fraction form
    251.74/347.39 = 164.40/x
  3. Step 3: Cross multiply
    251.74x = 347.39 × 164.40
  4. Step 4: Simplify right side
    251.74x = 57,109.41
  5. Step 5: Solve for x
    x = 57,109.41/251.74
  6. Step 6: Final answer
    x = 226.86

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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.