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Finding the Fourth Proportional to 258.92, 357.14 and 181.24

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Solution

The fourth proportional to 258.92, 357.14 and 181.24 is: 249.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.92 : 357.14 = 181.24 : x
  2. Step 2: Convert to fraction form
    258.92/357.14 = 181.24/x
  3. Step 3: Cross multiply
    258.92x = 357.14 × 181.24
  4. Step 4: Simplify right side
    258.92x = 64,728.05
  5. Step 5: Solve for x
    x = 64,728.05/258.92
  6. Step 6: Final answer
    x = 249.99

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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.