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Finding the Fourth Proportional to 186.52, 257.03 and 164.25

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Solution

The fourth proportional to 186.52, 257.03 and 164.25 is: 226.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.52 : 257.03 = 164.25 : x
  2. Step 2: Convert to fraction form
    186.52/257.03 = 164.25/x
  3. Step 3: Cross multiply
    186.52x = 257.03 × 164.25
  4. Step 4: Simplify right side
    186.52x = 42,215.07
  5. Step 5: Solve for x
    x = 42,215.07/186.52
  6. Step 6: Final answer
    x = 226.33

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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.