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Finding the Fourth Proportional to 219.84, 329.65 and 98.17

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Solution

The fourth proportional to 219.84, 329.65 and 98.17 is: 147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.84 : 329.65 = 98.17 : x
  2. Step 2: Convert to fraction form
    219.84/329.65 = 98.17/x
  3. Step 3: Cross multiply
    219.84x = 329.65 × 98.17
  4. Step 4: Simplify right side
    219.84x = 32,361.74
  5. Step 5: Solve for x
    x = 32,361.74/219.84
  6. Step 6: Final answer
    x = 147.21

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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.