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Finding the Fourth Proportional to 219.47, 329.25 and 82.51

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Solution

The fourth proportional to 219.47, 329.25 and 82.51 is: 123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.47 : 329.25 = 82.51 : x
  2. Step 2: Convert to fraction form
    219.47/329.25 = 82.51/x
  3. Step 3: Cross multiply
    219.47x = 329.25 × 82.51
  4. Step 4: Simplify right side
    219.47x = 27,166.42
  5. Step 5: Solve for x
    x = 27,166.42/219.47
  6. Step 6: Final answer
    x = 123.78

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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.