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Finding the Fourth Proportional to 219.42, 328.78 and 161.78

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Solution

The fourth proportional to 219.42, 328.78 and 161.78 is: 242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.42 : 328.78 = 161.78 : x
  2. Step 2: Convert to fraction form
    219.42/328.78 = 161.78/x
  3. Step 3: Cross multiply
    219.42x = 328.78 × 161.78
  4. Step 4: Simplify right side
    219.42x = 53,190.03
  5. Step 5: Solve for x
    x = 53,190.03/219.42
  6. Step 6: Final answer
    x = 242.41

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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.