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Finding the Fourth Proportional to 219.90, 329.07 and 161.99

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Solution

The fourth proportional to 219.90, 329.07 and 161.99 is: 242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.90 : 329.07 = 161.99 : x
  2. Step 2: Convert to fraction form
    219.90/329.07 = 161.99/x
  3. Step 3: Cross multiply
    219.90x = 329.07 × 161.99
  4. Step 4: Simplify right side
    219.90x = 53,304.40
  5. Step 5: Solve for x
    x = 53,304.40/219.90
  6. Step 6: Final answer
    x = 242.40

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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.