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Finding the Fourth Proportional to 258.12, 386.64 and 181.44

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Solution

The fourth proportional to 258.12, 386.64 and 181.44 is: 271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.12 : 386.64 = 181.44 : x
  2. Step 2: Convert to fraction form
    258.12/386.64 = 181.44/x
  3. Step 3: Cross multiply
    258.12x = 386.64 × 181.44
  4. Step 4: Simplify right side
    258.12x = 70,151.96
  5. Step 5: Solve for x
    x = 70,151.96/258.12
  6. Step 6: Final answer
    x = 271.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.