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Finding the Fourth Proportional to 250, 374.46 and 181.44

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Solution

The fourth proportional to 250, 374.46 and 181.44 is: 271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    250 : 374.46 = 181.44 : x
  2. Step 2: Convert to fraction form
    250/374.46 = 181.44/x
  3. Step 3: Cross multiply
    250x = 374.46 × 181.44
  4. Step 4: Simplify right side
    250x = 67,942.02
  5. Step 5: Solve for x
    x = 67,942.02/250
  6. Step 6: Final answer
    x = 271.77

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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.