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Finding the Fourth Proportional to 146.13, 219.05 and 138.43

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Solution

The fourth proportional to 146.13, 219.05 and 138.43 is: 207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.13 : 219.05 = 138.43 : x
  2. Step 2: Convert to fraction form
    146.13/219.05 = 138.43/x
  3. Step 3: Cross multiply
    146.13x = 219.05 × 138.43
  4. Step 4: Simplify right side
    146.13x = 30,323.09
  5. Step 5: Solve for x
    x = 30,323.09/146.13
  6. Step 6: Final answer
    x = 207.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.