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Finding the Fourth Proportional to 219.95, 329.75 and 82.99

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Solution

The fourth proportional to 219.95, 329.75 and 82.99 is: 124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.95 : 329.75 = 82.99 : x
  2. Step 2: Convert to fraction form
    219.95/329.75 = 82.99/x
  3. Step 3: Cross multiply
    219.95x = 329.75 × 82.99
  4. Step 4: Simplify right side
    219.95x = 27,363.89
  5. Step 5: Solve for x
    x = 27,363.89/219.95
  6. Step 6: Final answer
    x = 124.41

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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.