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Finding the Fourth Proportional to 219.80, 329.65 and 98.03

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Solution

The fourth proportional to 219.80, 329.65 and 98.03 is: 147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.80 : 329.65 = 98.03 : x
  2. Step 2: Convert to fraction form
    219.80/329.65 = 98.03/x
  3. Step 3: Cross multiply
    219.80x = 329.65 × 98.03
  4. Step 4: Simplify right side
    219.80x = 32,315.59
  5. Step 5: Solve for x
    x = 32,315.59/219.80
  6. Step 6: Final answer
    x = 147.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.