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Finding the Fourth Proportional to 146.12, 219.38 and 122.24

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Solution

The fourth proportional to 146.12, 219.38 and 122.24 is: 183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.12 : 219.38 = 122.24 : x
  2. Step 2: Convert to fraction form
    146.12/219.38 = 122.24/x
  3. Step 3: Cross multiply
    146.12x = 219.38 × 122.24
  4. Step 4: Simplify right side
    146.12x = 26,817.01
  5. Step 5: Solve for x
    x = 26,817.01/146.12
  6. Step 6: Final answer
    x = 183.53

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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.