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Finding the Fourth Proportional to 249.86, 375.40 and 219.48

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Solution

The fourth proportional to 249.86, 375.40 and 219.48 is: 329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.86 : 375.40 = 219.48 : x
  2. Step 2: Convert to fraction form
    249.86/375.40 = 219.48/x
  3. Step 3: Cross multiply
    249.86x = 375.40 × 219.48
  4. Step 4: Simplify right side
    249.86x = 82,392.79
  5. Step 5: Solve for x
    x = 82,392.79/249.86
  6. Step 6: Final answer
    x = 329.76

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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.