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Finding the Fourth Proportional to 179.82, 268.47 and 164.43

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Solution

The fourth proportional to 179.82, 268.47 and 164.43 is: 245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.82 : 268.47 = 164.43 : x
  2. Step 2: Convert to fraction form
    179.82/268.47 = 164.43/x
  3. Step 3: Cross multiply
    179.82x = 268.47 × 164.43
  4. Step 4: Simplify right side
    179.82x = 44,144.52
  5. Step 5: Solve for x
    x = 44,144.52/179.82
  6. Step 6: Final answer
    x = 245.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.