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Finding the Fourth Proportional to 146.29, 219.68 and 98.29

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Solution

The fourth proportional to 146.29, 219.68 and 98.29 is: 147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.29 : 219.68 = 98.29 : x
  2. Step 2: Convert to fraction form
    146.29/219.68 = 98.29/x
  3. Step 3: Cross multiply
    146.29x = 219.68 × 98.29
  4. Step 4: Simplify right side
    146.29x = 21,591.86
  5. Step 5: Solve for x
    x = 21,591.86/146.29
  6. Step 6: Final answer
    x = 147.60

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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.