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Finding the Fourth Proportional to 251.82, 377.42 and 219.19

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Solution

The fourth proportional to 251.82, 377.42 and 219.19 is: 328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.82 : 377.42 = 219.19 : x
  2. Step 2: Convert to fraction form
    251.82/377.42 = 219.19/x
  3. Step 3: Cross multiply
    251.82x = 377.42 × 219.19
  4. Step 4: Simplify right side
    251.82x = 82,724.65
  5. Step 5: Solve for x
    x = 82,724.65/251.82
  6. Step 6: Final answer
    x = 328.50

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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.