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Finding the Fourth Proportional to 251.26, 346.90 and 164.08

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Solution

The fourth proportional to 251.26, 346.90 and 164.08 is: 226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.26 : 346.90 = 164.08 : x
  2. Step 2: Convert to fraction form
    251.26/346.90 = 164.08/x
  3. Step 3: Cross multiply
    251.26x = 346.90 × 164.08
  4. Step 4: Simplify right side
    251.26x = 56,919.35
  5. Step 5: Solve for x
    x = 56,919.35/251.26
  6. Step 6: Final answer
    x = 226.54

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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.