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Finding the Fourth Proportional to 186.33, 257.26 and 166.60

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Solution

The fourth proportional to 186.33, 257.26 and 166.60 is: 230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.33 : 257.26 = 166.60 : x
  2. Step 2: Convert to fraction form
    186.33/257.26 = 166.60/x
  3. Step 3: Cross multiply
    186.33x = 257.26 × 166.60
  4. Step 4: Simplify right side
    186.33x = 42,858.23
  5. Step 5: Solve for x
    x = 42,858.23/186.33
  6. Step 6: Final answer
    x = 230.02

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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.