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Finding the Fourth Proportional to 219.98, 329.98 and 83.10

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Solution

The fourth proportional to 219.98, 329.98 and 83.10 is: 124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.98 : 329.98 = 83.10 : x
  2. Step 2: Convert to fraction form
    219.98/329.98 = 83.10/x
  3. Step 3: Cross multiply
    219.98x = 329.98 × 83.10
  4. Step 4: Simplify right side
    219.98x = 27,421.34
  5. Step 5: Solve for x
    x = 27,421.34/219.98
  6. Step 6: Final answer
    x = 124.65

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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.