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Finding the Fourth Proportional to 219.98, 329.88 and 73.70

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Solution

The fourth proportional to 219.98, 329.88 and 73.70 is: 110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.98 : 329.88 = 73.70 : x
  2. Step 2: Convert to fraction form
    219.98/329.88 = 73.70/x
  3. Step 3: Cross multiply
    219.98x = 329.88 × 73.70
  4. Step 4: Simplify right side
    219.98x = 24,310.51
  5. Step 5: Solve for x
    x = 24,310.51/219.98
  6. Step 6: Final answer
    x = 110.51

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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.