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Finding the Fourth Proportional to 186.48, 258.96 and 181.32

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Solution

The fourth proportional to 186.48, 258.96 and 181.32 is: 251.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.48 : 258.96 = 181.32 : x
  2. Step 2: Convert to fraction form
    186.48/258.96 = 181.32/x
  3. Step 3: Cross multiply
    186.48x = 258.96 × 181.32
  4. Step 4: Simplify right side
    186.48x = 46,954.63
  5. Step 5: Solve for x
    x = 46,954.63/186.48
  6. Step 6: Final answer
    x = 251.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.