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Finding the Fourth Proportional to 250.24, 374.92 and 181.40

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Solution

The fourth proportional to 250.24, 374.92 and 181.40 is: 271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.24 : 374.92 = 181.40 : x
  2. Step 2: Convert to fraction form
    250.24/374.92 = 181.40/x
  3. Step 3: Cross multiply
    250.24x = 374.92 × 181.40
  4. Step 4: Simplify right side
    250.24x = 68,010.49
  5. Step 5: Solve for x
    x = 68,010.49/250.24
  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.