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Finding the Fourth Proportional to 251.32, 346.74 and 164.05

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Solution

The fourth proportional to 251.32, 346.74 and 164.05 is: 226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.32 : 346.74 = 164.05 : x
  2. Step 2: Convert to fraction form
    251.32/346.74 = 164.05/x
  3. Step 3: Cross multiply
    251.32x = 346.74 × 164.05
  4. Step 4: Simplify right side
    251.32x = 56,882.70
  5. Step 5: Solve for x
    x = 56,882.70/251.32
  6. Step 6: Final answer
    x = 226.34

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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.