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Finding the Fourth Proportional to 146.47, 219.34 and 132.60

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Solution

The fourth proportional to 146.47, 219.34 and 132.60 is: 198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.47 : 219.34 = 132.60 : x
  2. Step 2: Convert to fraction form
    146.47/219.34 = 132.60/x
  3. Step 3: Cross multiply
    146.47x = 219.34 × 132.60
  4. Step 4: Simplify right side
    146.47x = 29,084.56
  5. Step 5: Solve for x
    x = 29,084.56/146.47
  6. Step 6: Final answer
    x = 198.57

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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.