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Finding the Fourth Proportional to 185.97, 257.13 and 164.10

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Solution

The fourth proportional to 185.97, 257.13 and 164.10 is: 226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.97 : 257.13 = 164.10 : x
  2. Step 2: Convert to fraction form
    185.97/257.13 = 164.10/x
  3. Step 3: Cross multiply
    185.97x = 257.13 × 164.10
  4. Step 4: Simplify right side
    185.97x = 42,195.03
  5. Step 5: Solve for x
    x = 42,195.03/185.97
  6. Step 6: Final answer
    x = 226.89

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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.