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Finding the Fourth Proportional to 219.11, 328.05 and 161.19

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Solution

The fourth proportional to 219.11, 328.05 and 161.19 is: 241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.11 : 328.05 = 161.19 : x
  2. Step 2: Convert to fraction form
    219.11/328.05 = 161.19/x
  3. Step 3: Cross multiply
    219.11x = 328.05 × 161.19
  4. Step 4: Simplify right side
    219.11x = 52,878.38
  5. Step 5: Solve for x
    x = 52,878.38/219.11
  6. Step 6: Final answer
    x = 241.34

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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.