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Finding the Fourth Proportional to 258.72, 357.36 and 181.44

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Solution

The fourth proportional to 258.72, 357.36 and 181.44 is: 250.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.72 : 357.36 = 181.44 : x
  2. Step 2: Convert to fraction form
    258.72/357.36 = 181.44/x
  3. Step 3: Cross multiply
    258.72x = 357.36 × 181.44
  4. Step 4: Simplify right side
    258.72x = 64,839.40
  5. Step 5: Solve for x
    x = 64,839.40/258.72
  6. Step 6: Final answer
    x = 250.62

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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.