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Finding the Fourth Proportional to 257.69, 387.06 and 219.23

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Solution

The fourth proportional to 257.69, 387.06 and 219.23 is: 329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.69 : 387.06 = 219.23 : x
  2. Step 2: Convert to fraction form
    257.69/387.06 = 219.23/x
  3. Step 3: Cross multiply
    257.69x = 387.06 × 219.23
  4. Step 4: Simplify right side
    257.69x = 84,855.16
  5. Step 5: Solve for x
    x = 84,855.16/257.69
  6. Step 6: Final answer
    x = 329.29

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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.