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Finding the Fourth Proportional to 146.70, 219.78 and 138.02

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Solution

The fourth proportional to 146.70, 219.78 and 138.02 is: 206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.70 : 219.78 = 138.02 : x
  2. Step 2: Convert to fraction form
    146.70/219.78 = 138.02/x
  3. Step 3: Cross multiply
    146.70x = 219.78 × 138.02
  4. Step 4: Simplify right side
    146.70x = 30,334.93
  5. Step 5: Solve for x
    x = 30,334.93/146.70
  6. Step 6: Final answer
    x = 206.79

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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.