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Finding the Fourth Proportional to 250.54, 344.82 and 219.54

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Solution

The fourth proportional to 250.54, 344.82 and 219.54 is: 302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.54 : 344.82 = 219.54 : x
  2. Step 2: Convert to fraction form
    250.54/344.82 = 219.54/x
  3. Step 3: Cross multiply
    250.54x = 344.82 × 219.54
  4. Step 4: Simplify right side
    250.54x = 75,701.78
  5. Step 5: Solve for x
    x = 75,701.78/250.54
  6. Step 6: Final answer
    x = 302.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.