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Finding the Fourth Proportional to 178.20, 245.43 and 164.43

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Solution

The fourth proportional to 178.20, 245.43 and 164.43 is: 226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.20 : 245.43 = 164.43 : x
  2. Step 2: Convert to fraction form
    178.20/245.43 = 164.43/x
  3. Step 3: Cross multiply
    178.20x = 245.43 × 164.43
  4. Step 4: Simplify right side
    178.20x = 40,356.05
  5. Step 5: Solve for x
    x = 40,356.05/178.20
  6. Step 6: Final answer
    x = 226.46

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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.