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Finding the Fourth Proportional to 257.67, 386.60 and 219.45

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Solution

The fourth proportional to 257.67, 386.60 and 219.45 is: 329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.67 : 386.60 = 219.45 : x
  2. Step 2: Convert to fraction form
    257.67/386.60 = 219.45/x
  3. Step 3: Cross multiply
    257.67x = 386.60 × 219.45
  4. Step 4: Simplify right side
    257.67x = 84,838.27
  5. Step 5: Solve for x
    x = 84,838.27/257.67
  6. Step 6: Final answer
    x = 329.25

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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.