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Finding the Fourth Proportional to 251.45, 346.97 and 164.15

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Solution

The fourth proportional to 251.45, 346.97 and 164.15 is: 226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.45 : 346.97 = 164.15 : x
  2. Step 2: Convert to fraction form
    251.45/346.97 = 164.15/x
  3. Step 3: Cross multiply
    251.45x = 346.97 × 164.15
  4. Step 4: Simplify right side
    251.45x = 56,954.30
  5. Step 5: Solve for x
    x = 56,954.30/251.45
  6. Step 6: Final answer
    x = 226.50

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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.