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Finding the Fourth Proportional to 219.39, 329.90 and 165.53

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Solution

The fourth proportional to 219.39, 329.90 and 165.53 is: 248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.39 : 329.90 = 165.53 : x
  2. Step 2: Convert to fraction form
    219.39/329.90 = 165.53/x
  3. Step 3: Cross multiply
    219.39x = 329.90 × 165.53
  4. Step 4: Simplify right side
    219.39x = 54,605.87
  5. Step 5: Solve for x
    x = 54,605.87/219.39
  6. Step 6: Final answer
    x = 248.90

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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.