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Finding the Fourth Proportional to 251.82, 378.39 and 171.15

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Solution

The fourth proportional to 251.82, 378.39 and 171.15 is: 257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.82 : 378.39 = 171.15 : x
  2. Step 2: Convert to fraction form
    251.82/378.39 = 171.15/x
  3. Step 3: Cross multiply
    251.82x = 378.39 × 171.15
  4. Step 4: Simplify right side
    251.82x = 64,761.45
  5. Step 5: Solve for x
    x = 64,761.45/251.82
  6. Step 6: Final answer
    x = 257.17

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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.